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Simplifying -1(5x + -3) + -1(3x + -6) + 10 = -9(x + -1) + -1(3x + 9) + 3 Reorder the terms: -1(-3 + 5x) + -1(3x + -6) + 10 = -9(x + -1) + -1(3x + 9) + 3 (-3 * -1 + 5x * -1) + -1(3x + -6) + 10 = -9(x + -1) + -1(3x + 9) + 3 (3 + -5x) + -1(3x + -6) + 10 = -9(x + -1) + -1(3x + 9) + 3 Reorder the terms: 3 + -5x + -1(-6 + 3x) + 10 = -9(x + -1) + -1(3x + 9) + 3 3 + -5x + (-6 * -1 + 3x * -1) + 10 = -9(x + -1) + -1(3x + 9) + 3 3 + -5x + (6 + -3x) + 10 = -9(x + -1) + -1(3x + 9) + 3 Reorder the terms: 3 + 6 + 10 + -5x + -3x = -9(x + -1) + -1(3x + 9) + 3 Combine like terms: 3 + 6 = 9 9 + 10 + -5x + -3x = -9(x + -1) + -1(3x + 9) + 3 Combine like terms: 9 + 10 = 19 19 + -5x + -3x = -9(x + -1) + -1(3x + 9) + 3 Combine like terms: -5x + -3x = -8x 19 + -8x = -9(x + -1) + -1(3x + 9) + 3 Reorder the terms: 19 + -8x = -9(-1 + x) + -1(3x + 9) + 3 19 + -8x = (-1 * -9 + x * -9) + -1(3x + 9) + 3 19 + -8x = (9 + -9x) + -1(3x + 9) + 3 Reorder the terms: 19 + -8x = 9 + -9x + -1(9 + 3x) + 3 19 + -8x = 9 + -9x + (9 * -1 + 3x * -1) + 3 19 + -8x = 9 + -9x + (-9 + -3x) + 3 Reorder the terms: 19 + -8x = 9 + -9 + 3 + -9x + -3x Combine like terms: 9 + -9 = 0 19 + -8x = 0 + 3 + -9x + -3x 19 + -8x = 3 + -9x + -3x Combine like terms: -9x + -3x = -12x 19 + -8x = 3 + -12x Solving 19 + -8x = 3 + -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. 19 + -8x + 12x = 3 + -12x + 12x Combine like terms: -8x + 12x = 4x 19 + 4x = 3 + -12x + 12x Combine like terms: -12x + 12x = 0 19 + 4x = 3 + 0 19 + 4x = 3 Add '-19' to each side of the equation. 19 + -19 + 4x = 3 + -19 Combine like terms: 19 + -19 = 0 0 + 4x = 3 + -19 4x = 3 + -19 Combine like terms: 3 + -19 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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