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Simplifying -1(8x + -4) + -1(3x + -5) + 10 = -11(x + -1) + -1(5x + 10) + 3 Reorder the terms: -1(-4 + 8x) + -1(3x + -5) + 10 = -11(x + -1) + -1(5x + 10) + 3 (-4 * -1 + 8x * -1) + -1(3x + -5) + 10 = -11(x + -1) + -1(5x + 10) + 3 (4 + -8x) + -1(3x + -5) + 10 = -11(x + -1) + -1(5x + 10) + 3 Reorder the terms: 4 + -8x + -1(-5 + 3x) + 10 = -11(x + -1) + -1(5x + 10) + 3 4 + -8x + (-5 * -1 + 3x * -1) + 10 = -11(x + -1) + -1(5x + 10) + 3 4 + -8x + (5 + -3x) + 10 = -11(x + -1) + -1(5x + 10) + 3 Reorder the terms: 4 + 5 + 10 + -8x + -3x = -11(x + -1) + -1(5x + 10) + 3 Combine like terms: 4 + 5 = 9 9 + 10 + -8x + -3x = -11(x + -1) + -1(5x + 10) + 3 Combine like terms: 9 + 10 = 19 19 + -8x + -3x = -11(x + -1) + -1(5x + 10) + 3 Combine like terms: -8x + -3x = -11x 19 + -11x = -11(x + -1) + -1(5x + 10) + 3 Reorder the terms: 19 + -11x = -11(-1 + x) + -1(5x + 10) + 3 19 + -11x = (-1 * -11 + x * -11) + -1(5x + 10) + 3 19 + -11x = (11 + -11x) + -1(5x + 10) + 3 Reorder the terms: 19 + -11x = 11 + -11x + -1(10 + 5x) + 3 19 + -11x = 11 + -11x + (10 * -1 + 5x * -1) + 3 19 + -11x = 11 + -11x + (-10 + -5x) + 3 Reorder the terms: 19 + -11x = 11 + -10 + 3 + -11x + -5x Combine like terms: 11 + -10 = 1 19 + -11x = 1 + 3 + -11x + -5x Combine like terms: 1 + 3 = 4 19 + -11x = 4 + -11x + -5x Combine like terms: -11x + -5x = -16x 19 + -11x = 4 + -16x Solving 19 + -11x = 4 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 19 + -11x + 16x = 4 + -16x + 16x Combine like terms: -11x + 16x = 5x 19 + 5x = 4 + -16x + 16x Combine like terms: -16x + 16x = 0 19 + 5x = 4 + 0 19 + 5x = 4 Add '-19' to each side of the equation. 19 + -19 + 5x = 4 + -19 Combine like terms: 19 + -19 = 0 0 + 5x = 4 + -19 5x = 4 + -19 Combine like terms: 4 + -19 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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