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Simplifying -1(8x + -3) + -1(3x + -5) + 11 = -9(x + -1) + -1(7x + 8) + 3 Reorder the terms: -1(-3 + 8x) + -1(3x + -5) + 11 = -9(x + -1) + -1(7x + 8) + 3 (-3 * -1 + 8x * -1) + -1(3x + -5) + 11 = -9(x + -1) + -1(7x + 8) + 3 (3 + -8x) + -1(3x + -5) + 11 = -9(x + -1) + -1(7x + 8) + 3 Reorder the terms: 3 + -8x + -1(-5 + 3x) + 11 = -9(x + -1) + -1(7x + 8) + 3 3 + -8x + (-5 * -1 + 3x * -1) + 11 = -9(x + -1) + -1(7x + 8) + 3 3 + -8x + (5 + -3x) + 11 = -9(x + -1) + -1(7x + 8) + 3 Reorder the terms: 3 + 5 + 11 + -8x + -3x = -9(x + -1) + -1(7x + 8) + 3 Combine like terms: 3 + 5 = 8 8 + 11 + -8x + -3x = -9(x + -1) + -1(7x + 8) + 3 Combine like terms: 8 + 11 = 19 19 + -8x + -3x = -9(x + -1) + -1(7x + 8) + 3 Combine like terms: -8x + -3x = -11x 19 + -11x = -9(x + -1) + -1(7x + 8) + 3 Reorder the terms: 19 + -11x = -9(-1 + x) + -1(7x + 8) + 3 19 + -11x = (-1 * -9 + x * -9) + -1(7x + 8) + 3 19 + -11x = (9 + -9x) + -1(7x + 8) + 3 Reorder the terms: 19 + -11x = 9 + -9x + -1(8 + 7x) + 3 19 + -11x = 9 + -9x + (8 * -1 + 7x * -1) + 3 19 + -11x = 9 + -9x + (-8 + -7x) + 3 Reorder the terms: 19 + -11x = 9 + -8 + 3 + -9x + -7x Combine like terms: 9 + -8 = 1 19 + -11x = 1 + 3 + -9x + -7x Combine like terms: 1 + 3 = 4 19 + -11x = 4 + -9x + -7x Combine like terms: -9x + -7x = -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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