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Simplifying -1(5x + -7) + -1(2x + -2) + 7 = -6(x + -9) + -1(6x + 4) + 4 Reorder the terms: -1(-7 + 5x) + -1(2x + -2) + 7 = -6(x + -9) + -1(6x + 4) + 4 (-7 * -1 + 5x * -1) + -1(2x + -2) + 7 = -6(x + -9) + -1(6x + 4) + 4 (7 + -5x) + -1(2x + -2) + 7 = -6(x + -9) + -1(6x + 4) + 4 Reorder the terms: 7 + -5x + -1(-2 + 2x) + 7 = -6(x + -9) + -1(6x + 4) + 4 7 + -5x + (-2 * -1 + 2x * -1) + 7 = -6(x + -9) + -1(6x + 4) + 4 7 + -5x + (2 + -2x) + 7 = -6(x + -9) + -1(6x + 4) + 4 Reorder the terms: 7 + 2 + 7 + -5x + -2x = -6(x + -9) + -1(6x + 4) + 4 Combine like terms: 7 + 2 = 9 9 + 7 + -5x + -2x = -6(x + -9) + -1(6x + 4) + 4 Combine like terms: 9 + 7 = 16 16 + -5x + -2x = -6(x + -9) + -1(6x + 4) + 4 Combine like terms: -5x + -2x = -7x 16 + -7x = -6(x + -9) + -1(6x + 4) + 4 Reorder the terms: 16 + -7x = -6(-9 + x) + -1(6x + 4) + 4 16 + -7x = (-9 * -6 + x * -6) + -1(6x + 4) + 4 16 + -7x = (54 + -6x) + -1(6x + 4) + 4 Reorder the terms: 16 + -7x = 54 + -6x + -1(4 + 6x) + 4 16 + -7x = 54 + -6x + (4 * -1 + 6x * -1) + 4 16 + -7x = 54 + -6x + (-4 + -6x) + 4 Reorder the terms: 16 + -7x = 54 + -4 + 4 + -6x + -6x Combine like terms: 54 + -4 = 50 16 + -7x = 50 + 4 + -6x + -6x Combine like terms: 50 + 4 = 54 16 + -7x = 54 + -6x + -6x Combine like terms: -6x + -6x = -12x 16 + -7x = 54 + -12x Solving 16 + -7x = 54 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 16 + -7x + 12x = 54 + -12x + 12x Combine like terms: -7x + 12x = 5x 16 + 5x = 54 + -12x + 12x Combine like terms: -12x + 12x = 0 16 + 5x = 54 + 0 16 + 5x = 54 Add '-16' to each side of the equation. 16 + -16 + 5x = 54 + -16 Combine like terms: 16 + -16 = 0 0 + 5x = 54 + -16 5x = 54 + -16 Combine like terms: 54 + -16 = 38 5x = 38 Divide each side by '5'. x = 7.6 Simplifying x = 7.6
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