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Simplifying -1(8x + -4) + -1(5x + -9) + 6 = -9(x + -9) + -1(9x + 5) + 2 Reorder the terms: -1(-4 + 8x) + -1(5x + -9) + 6 = -9(x + -9) + -1(9x + 5) + 2 (-4 * -1 + 8x * -1) + -1(5x + -9) + 6 = -9(x + -9) + -1(9x + 5) + 2 (4 + -8x) + -1(5x + -9) + 6 = -9(x + -9) + -1(9x + 5) + 2 Reorder the terms: 4 + -8x + -1(-9 + 5x) + 6 = -9(x + -9) + -1(9x + 5) + 2 4 + -8x + (-9 * -1 + 5x * -1) + 6 = -9(x + -9) + -1(9x + 5) + 2 4 + -8x + (9 + -5x) + 6 = -9(x + -9) + -1(9x + 5) + 2 Reorder the terms: 4 + 9 + 6 + -8x + -5x = -9(x + -9) + -1(9x + 5) + 2 Combine like terms: 4 + 9 = 13 13 + 6 + -8x + -5x = -9(x + -9) + -1(9x + 5) + 2 Combine like terms: 13 + 6 = 19 19 + -8x + -5x = -9(x + -9) + -1(9x + 5) + 2 Combine like terms: -8x + -5x = -13x 19 + -13x = -9(x + -9) + -1(9x + 5) + 2 Reorder the terms: 19 + -13x = -9(-9 + x) + -1(9x + 5) + 2 19 + -13x = (-9 * -9 + x * -9) + -1(9x + 5) + 2 19 + -13x = (81 + -9x) + -1(9x + 5) + 2 Reorder the terms: 19 + -13x = 81 + -9x + -1(5 + 9x) + 2 19 + -13x = 81 + -9x + (5 * -1 + 9x * -1) + 2 19 + -13x = 81 + -9x + (-5 + -9x) + 2 Reorder the terms: 19 + -13x = 81 + -5 + 2 + -9x + -9x Combine like terms: 81 + -5 = 76 19 + -13x = 76 + 2 + -9x + -9x Combine like terms: 76 + 2 = 78 19 + -13x = 78 + -9x + -9x Combine like terms: -9x + -9x = -18x 19 + -13x = 78 + -18x Solving 19 + -13x = 78 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 19 + -13x + 18x = 78 + -18x + 18x Combine like terms: -13x + 18x = 5x 19 + 5x = 78 + -18x + 18x Combine like terms: -18x + 18x = 0 19 + 5x = 78 + 0 19 + 5x = 78 Add '-19' to each side of the equation. 19 + -19 + 5x = 78 + -19 Combine like terms: 19 + -19 = 0 0 + 5x = 78 + -19 5x = 78 + -19 Combine like terms: 78 + -19 = 59 5x = 59 Divide each side by '5'. x = 11.8 Simplifying x = 11.8
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