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Simplifying -1(8x + -4) + -1(3x + -5) + 10 = -9(x + -1) + -1(5x + 8 + 3) Reorder the terms: -1(-4 + 8x) + -1(3x + -5) + 10 = -9(x + -1) + -1(5x + 8 + 3) (-4 * -1 + 8x * -1) + -1(3x + -5) + 10 = -9(x + -1) + -1(5x + 8 + 3) (4 + -8x) + -1(3x + -5) + 10 = -9(x + -1) + -1(5x + 8 + 3) Reorder the terms: 4 + -8x + -1(-5 + 3x) + 10 = -9(x + -1) + -1(5x + 8 + 3) 4 + -8x + (-5 * -1 + 3x * -1) + 10 = -9(x + -1) + -1(5x + 8 + 3) 4 + -8x + (5 + -3x) + 10 = -9(x + -1) + -1(5x + 8 + 3) Reorder the terms: 4 + 5 + 10 + -8x + -3x = -9(x + -1) + -1(5x + 8 + 3) Combine like terms: 4 + 5 = 9 9 + 10 + -8x + -3x = -9(x + -1) + -1(5x + 8 + 3) Combine like terms: 9 + 10 = 19 19 + -8x + -3x = -9(x + -1) + -1(5x + 8 + 3) Combine like terms: -8x + -3x = -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 + 3 + 5x) Combine like terms: 8 + 3 = 11 19 + -11x = 9 + -9x + -1(11 + 5x) 19 + -11x = 9 + -9x + (11 * -1 + 5x * -1) 19 + -11x = 9 + -9x + (-11 + -5x) Reorder the terms: 19 + -11x = 9 + -11 + -9x + -5x Combine like terms: 9 + -11 = -2 19 + -11x = -2 + -9x + -5x Combine like terms: -9x + -5x = -14x 19 + -11x = -2 + -14x Solving 19 + -11x = -2 + -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 = -2 + -14x + 14x Combine like terms: -11x + 14x = 3x 19 + 3x = -2 + -14x + 14x Combine like terms: -14x + 14x = 0 19 + 3x = -2 + 0 19 + 3x = -2 Add '-19' to each side of the equation. 19 + -19 + 3x = -2 + -19 Combine like terms: 19 + -19 = 0 0 + 3x = -2 + -19 3x = -2 + -19 Combine like terms: -2 + -19 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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