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Simplifying -1(8y + -4) + -1(6x + -8) + 7 = -9(x + -5) + -1(7x + 2) + 6 Reorder the terms: -1(-4 + 8y) + -1(6x + -8) + 7 = -9(x + -5) + -1(7x + 2) + 6 (-4 * -1 + 8y * -1) + -1(6x + -8) + 7 = -9(x + -5) + -1(7x + 2) + 6 (4 + -8y) + -1(6x + -8) + 7 = -9(x + -5) + -1(7x + 2) + 6 Reorder the terms: 4 + -8y + -1(-8 + 6x) + 7 = -9(x + -5) + -1(7x + 2) + 6 4 + -8y + (-8 * -1 + 6x * -1) + 7 = -9(x + -5) + -1(7x + 2) + 6 4 + -8y + (8 + -6x) + 7 = -9(x + -5) + -1(7x + 2) + 6 Reorder the terms: 4 + 8 + 7 + -6x + -8y = -9(x + -5) + -1(7x + 2) + 6 Combine like terms: 4 + 8 = 12 12 + 7 + -6x + -8y = -9(x + -5) + -1(7x + 2) + 6 Combine like terms: 12 + 7 = 19 19 + -6x + -8y = -9(x + -5) + -1(7x + 2) + 6 Reorder the terms: 19 + -6x + -8y = -9(-5 + x) + -1(7x + 2) + 6 19 + -6x + -8y = (-5 * -9 + x * -9) + -1(7x + 2) + 6 19 + -6x + -8y = (45 + -9x) + -1(7x + 2) + 6 Reorder the terms: 19 + -6x + -8y = 45 + -9x + -1(2 + 7x) + 6 19 + -6x + -8y = 45 + -9x + (2 * -1 + 7x * -1) + 6 19 + -6x + -8y = 45 + -9x + (-2 + -7x) + 6 Reorder the terms: 19 + -6x + -8y = 45 + -2 + 6 + -9x + -7x Combine like terms: 45 + -2 = 43 19 + -6x + -8y = 43 + 6 + -9x + -7x Combine like terms: 43 + 6 = 49 19 + -6x + -8y = 49 + -9x + -7x Combine like terms: -9x + -7x = -16x 19 + -6x + -8y = 49 + -16x Solving 19 + -6x + -8y = 49 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 19 + -6x + 16x + -8y = 49 + -16x + 16x Combine like terms: -6x + 16x = 10x 19 + 10x + -8y = 49 + -16x + 16x Combine like terms: -16x + 16x = 0 19 + 10x + -8y = 49 + 0 19 + 10x + -8y = 49 Add '-19' to each side of the equation. 19 + 10x + -19 + -8y = 49 + -19 Reorder the terms: 19 + -19 + 10x + -8y = 49 + -19 Combine like terms: 19 + -19 = 0 0 + 10x + -8y = 49 + -19 10x + -8y = 49 + -19 Combine like terms: 49 + -19 = 30 10x + -8y = 30 Add '8y' to each side of the equation. 10x + -8y + 8y = 30 + 8y Combine like terms: -8y + 8y = 0 10x + 0 = 30 + 8y 10x = 30 + 8y Divide each side by '10'. x = 3 + 0.8y Simplifying x = 3 + 0.8y
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