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Simplifying -1(9x + -3) + -1(5x + -5) + 7 = -9(x + -1) + -1(9x + 9) + 3 Reorder the terms: -1(-3 + 9x) + -1(5x + -5) + 7 = -9(x + -1) + -1(9x + 9) + 3 (-3 * -1 + 9x * -1) + -1(5x + -5) + 7 = -9(x + -1) + -1(9x + 9) + 3 (3 + -9x) + -1(5x + -5) + 7 = -9(x + -1) + -1(9x + 9) + 3 Reorder the terms: 3 + -9x + -1(-5 + 5x) + 7 = -9(x + -1) + -1(9x + 9) + 3 3 + -9x + (-5 * -1 + 5x * -1) + 7 = -9(x + -1) + -1(9x + 9) + 3 3 + -9x + (5 + -5x) + 7 = -9(x + -1) + -1(9x + 9) + 3 Reorder the terms: 3 + 5 + 7 + -9x + -5x = -9(x + -1) + -1(9x + 9) + 3 Combine like terms: 3 + 5 = 8 8 + 7 + -9x + -5x = -9(x + -1) + -1(9x + 9) + 3 Combine like terms: 8 + 7 = 15 15 + -9x + -5x = -9(x + -1) + -1(9x + 9) + 3 Combine like terms: -9x + -5x = -14x 15 + -14x = -9(x + -1) + -1(9x + 9) + 3 Reorder the terms: 15 + -14x = -9(-1 + x) + -1(9x + 9) + 3 15 + -14x = (-1 * -9 + x * -9) + -1(9x + 9) + 3 15 + -14x = (9 + -9x) + -1(9x + 9) + 3 Reorder the terms: 15 + -14x = 9 + -9x + -1(9 + 9x) + 3 15 + -14x = 9 + -9x + (9 * -1 + 9x * -1) + 3 15 + -14x = 9 + -9x + (-9 + -9x) + 3 Reorder the terms: 15 + -14x = 9 + -9 + 3 + -9x + -9x Combine like terms: 9 + -9 = 0 15 + -14x = 0 + 3 + -9x + -9x 15 + -14x = 3 + -9x + -9x Combine like terms: -9x + -9x = -18x 15 + -14x = 3 + -18x Solving 15 + -14x = 3 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 15 + -14x + 18x = 3 + -18x + 18x Combine like terms: -14x + 18x = 4x 15 + 4x = 3 + -18x + 18x Combine like terms: -18x + 18x = 0 15 + 4x = 3 + 0 15 + 4x = 3 Add '-15' to each side of the equation. 15 + -15 + 4x = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = 3 + -15 4x = 3 + -15 Combine like terms: 3 + -15 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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