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Simplifying -1(6x + -4) + -1(5x + -3) + 6 = -9(x + -5) + -1(5x + 8) + 5 Reorder the terms: -1(-4 + 6x) + -1(5x + -3) + 6 = -9(x + -5) + -1(5x + 8) + 5 (-4 * -1 + 6x * -1) + -1(5x + -3) + 6 = -9(x + -5) + -1(5x + 8) + 5 (4 + -6x) + -1(5x + -3) + 6 = -9(x + -5) + -1(5x + 8) + 5 Reorder the terms: 4 + -6x + -1(-3 + 5x) + 6 = -9(x + -5) + -1(5x + 8) + 5 4 + -6x + (-3 * -1 + 5x * -1) + 6 = -9(x + -5) + -1(5x + 8) + 5 4 + -6x + (3 + -5x) + 6 = -9(x + -5) + -1(5x + 8) + 5 Reorder the terms: 4 + 3 + 6 + -6x + -5x = -9(x + -5) + -1(5x + 8) + 5 Combine like terms: 4 + 3 = 7 7 + 6 + -6x + -5x = -9(x + -5) + -1(5x + 8) + 5 Combine like terms: 7 + 6 = 13 13 + -6x + -5x = -9(x + -5) + -1(5x + 8) + 5 Combine like terms: -6x + -5x = -11x 13 + -11x = -9(x + -5) + -1(5x + 8) + 5 Reorder the terms: 13 + -11x = -9(-5 + x) + -1(5x + 8) + 5 13 + -11x = (-5 * -9 + x * -9) + -1(5x + 8) + 5 13 + -11x = (45 + -9x) + -1(5x + 8) + 5 Reorder the terms: 13 + -11x = 45 + -9x + -1(8 + 5x) + 5 13 + -11x = 45 + -9x + (8 * -1 + 5x * -1) + 5 13 + -11x = 45 + -9x + (-8 + -5x) + 5 Reorder the terms: 13 + -11x = 45 + -8 + 5 + -9x + -5x Combine like terms: 45 + -8 = 37 13 + -11x = 37 + 5 + -9x + -5x Combine like terms: 37 + 5 = 42 13 + -11x = 42 + -9x + -5x Combine like terms: -9x + -5x = -14x 13 + -11x = 42 + -14x Solving 13 + -11x = 42 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 13 + -11x + 14x = 42 + -14x + 14x Combine like terms: -11x + 14x = 3x 13 + 3x = 42 + -14x + 14x Combine like terms: -14x + 14x = 0 13 + 3x = 42 + 0 13 + 3x = 42 Add '-13' to each side of the equation. 13 + -13 + 3x = 42 + -13 Combine like terms: 13 + -13 = 0 0 + 3x = 42 + -13 3x = 42 + -13 Combine like terms: 42 + -13 = 29 3x = 29 Divide each side by '3'. x = 9.666666667 Simplifying x = 9.666666667
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