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Simplifying -1(5x + -3) + -1(6x + -6) + 10 = -9(x + -1) + -1(5x + 8) + 3 Reorder the terms: -1(-3 + 5x) + -1(6x + -6) + 10 = -9(x + -1) + -1(5x + 8) + 3 (-3 * -1 + 5x * -1) + -1(6x + -6) + 10 = -9(x + -1) + -1(5x + 8) + 3 (3 + -5x) + -1(6x + -6) + 10 = -9(x + -1) + -1(5x + 8) + 3 Reorder the terms: 3 + -5x + -1(-6 + 6x) + 10 = -9(x + -1) + -1(5x + 8) + 3 3 + -5x + (-6 * -1 + 6x * -1) + 10 = -9(x + -1) + -1(5x + 8) + 3 3 + -5x + (6 + -6x) + 10 = -9(x + -1) + -1(5x + 8) + 3 Reorder the terms: 3 + 6 + 10 + -5x + -6x = -9(x + -1) + -1(5x + 8) + 3 Combine like terms: 3 + 6 = 9 9 + 10 + -5x + -6x = -9(x + -1) + -1(5x + 8) + 3 Combine like terms: 9 + 10 = 19 19 + -5x + -6x = -9(x + -1) + -1(5x + 8) + 3 Combine like terms: -5x + -6x = -11x 19 + -11x = -9(x + -1) + -1(5x + 8) + 3 Reorder the terms: 19 + -11x = -9(-1 + x) + -1(5x + 8) + 3 19 + -11x = (-1 * -9 + x * -9) + -1(5x + 8) + 3 19 + -11x = (9 + -9x) + -1(5x + 8) + 3 Reorder the terms: 19 + -11x = 9 + -9x + -1(8 + 5x) + 3 19 + -11x = 9 + -9x + (8 * -1 + 5x * -1) + 3 19 + -11x = 9 + -9x + (-8 + -5x) + 3 Reorder the terms: 19 + -11x = 9 + -8 + 3 + -9x + -5x Combine like terms: 9 + -8 = 1 19 + -11x = 1 + 3 + -9x + -5x Combine like terms: 1 + 3 = 4 19 + -11x = 4 + -9x + -5x Combine like terms: -9x + -5x = -14x 19 + -11x = 4 + -14x Solving 19 + -11x = 4 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 19 + -11x + 14x = 4 + -14x + 14x Combine like terms: -11x + 14x = 3x 19 + 3x = 4 + -14x + 14x Combine like terms: -14x + 14x = 0 19 + 3x = 4 + 0 19 + 3x = 4 Add '-19' to each side of the equation. 19 + -19 + 3x = 4 + -19 Combine like terms: 19 + -19 = 0 0 + 3x = 4 + -19 3x = 4 + -19 Combine like terms: 4 + -19 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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