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Simplifying -1(5x + -3) + -1(4x + -6) + 2 = -9(x + -2) + -1(2x + 4) + 9 Reorder the terms: -1(-3 + 5x) + -1(4x + -6) + 2 = -9(x + -2) + -1(2x + 4) + 9 (-3 * -1 + 5x * -1) + -1(4x + -6) + 2 = -9(x + -2) + -1(2x + 4) + 9 (3 + -5x) + -1(4x + -6) + 2 = -9(x + -2) + -1(2x + 4) + 9 Reorder the terms: 3 + -5x + -1(-6 + 4x) + 2 = -9(x + -2) + -1(2x + 4) + 9 3 + -5x + (-6 * -1 + 4x * -1) + 2 = -9(x + -2) + -1(2x + 4) + 9 3 + -5x + (6 + -4x) + 2 = -9(x + -2) + -1(2x + 4) + 9 Reorder the terms: 3 + 6 + 2 + -5x + -4x = -9(x + -2) + -1(2x + 4) + 9 Combine like terms: 3 + 6 = 9 9 + 2 + -5x + -4x = -9(x + -2) + -1(2x + 4) + 9 Combine like terms: 9 + 2 = 11 11 + -5x + -4x = -9(x + -2) + -1(2x + 4) + 9 Combine like terms: -5x + -4x = -9x 11 + -9x = -9(x + -2) + -1(2x + 4) + 9 Reorder the terms: 11 + -9x = -9(-2 + x) + -1(2x + 4) + 9 11 + -9x = (-2 * -9 + x * -9) + -1(2x + 4) + 9 11 + -9x = (18 + -9x) + -1(2x + 4) + 9 Reorder the terms: 11 + -9x = 18 + -9x + -1(4 + 2x) + 9 11 + -9x = 18 + -9x + (4 * -1 + 2x * -1) + 9 11 + -9x = 18 + -9x + (-4 + -2x) + 9 Reorder the terms: 11 + -9x = 18 + -4 + 9 + -9x + -2x Combine like terms: 18 + -4 = 14 11 + -9x = 14 + 9 + -9x + -2x Combine like terms: 14 + 9 = 23 11 + -9x = 23 + -9x + -2x Combine like terms: -9x + -2x = -11x 11 + -9x = 23 + -11x Solving 11 + -9x = 23 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 11 + -9x + 11x = 23 + -11x + 11x Combine like terms: -9x + 11x = 2x 11 + 2x = 23 + -11x + 11x Combine like terms: -11x + 11x = 0 11 + 2x = 23 + 0 11 + 2x = 23 Add '-11' to each side of the equation. 11 + -11 + 2x = 23 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = 23 + -11 2x = 23 + -11 Combine like terms: 23 + -11 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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