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Simplifying -1(4x + -7) + -1(2x + -9) + 7 = -9(x + -5) + -1(6x + 9) + 3 Reorder the terms: -1(-7 + 4x) + -1(2x + -9) + 7 = -9(x + -5) + -1(6x + 9) + 3 (-7 * -1 + 4x * -1) + -1(2x + -9) + 7 = -9(x + -5) + -1(6x + 9) + 3 (7 + -4x) + -1(2x + -9) + 7 = -9(x + -5) + -1(6x + 9) + 3 Reorder the terms: 7 + -4x + -1(-9 + 2x) + 7 = -9(x + -5) + -1(6x + 9) + 3 7 + -4x + (-9 * -1 + 2x * -1) + 7 = -9(x + -5) + -1(6x + 9) + 3 7 + -4x + (9 + -2x) + 7 = -9(x + -5) + -1(6x + 9) + 3 Reorder the terms: 7 + 9 + 7 + -4x + -2x = -9(x + -5) + -1(6x + 9) + 3 Combine like terms: 7 + 9 = 16 16 + 7 + -4x + -2x = -9(x + -5) + -1(6x + 9) + 3 Combine like terms: 16 + 7 = 23 23 + -4x + -2x = -9(x + -5) + -1(6x + 9) + 3 Combine like terms: -4x + -2x = -6x 23 + -6x = -9(x + -5) + -1(6x + 9) + 3 Reorder the terms: 23 + -6x = -9(-5 + x) + -1(6x + 9) + 3 23 + -6x = (-5 * -9 + x * -9) + -1(6x + 9) + 3 23 + -6x = (45 + -9x) + -1(6x + 9) + 3 Reorder the terms: 23 + -6x = 45 + -9x + -1(9 + 6x) + 3 23 + -6x = 45 + -9x + (9 * -1 + 6x * -1) + 3 23 + -6x = 45 + -9x + (-9 + -6x) + 3 Reorder the terms: 23 + -6x = 45 + -9 + 3 + -9x + -6x Combine like terms: 45 + -9 = 36 23 + -6x = 36 + 3 + -9x + -6x Combine like terms: 36 + 3 = 39 23 + -6x = 39 + -9x + -6x Combine like terms: -9x + -6x = -15x 23 + -6x = 39 + -15x Solving 23 + -6x = 39 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 23 + -6x + 15x = 39 + -15x + 15x Combine like terms: -6x + 15x = 9x 23 + 9x = 39 + -15x + 15x Combine like terms: -15x + 15x = 0 23 + 9x = 39 + 0 23 + 9x = 39 Add '-23' to each side of the equation. 23 + -23 + 9x = 39 + -23 Combine like terms: 23 + -23 = 0 0 + 9x = 39 + -23 9x = 39 + -23 Combine like terms: 39 + -23 = 16 9x = 16 Divide each side by '9'. x = 1.777777778 Simplifying x = 1.777777778
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