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Simplifying 8(3x + -2) + -5(2x + -1) = 8 + -1(9 + -3x) Reorder the terms: 8(-2 + 3x) + -5(2x + -1) = 8 + -1(9 + -3x) (-2 * 8 + 3x * 8) + -5(2x + -1) = 8 + -1(9 + -3x) (-16 + 24x) + -5(2x + -1) = 8 + -1(9 + -3x) Reorder the terms: -16 + 24x + -5(-1 + 2x) = 8 + -1(9 + -3x) -16 + 24x + (-1 * -5 + 2x * -5) = 8 + -1(9 + -3x) -16 + 24x + (5 + -10x) = 8 + -1(9 + -3x) Reorder the terms: -16 + 5 + 24x + -10x = 8 + -1(9 + -3x) Combine like terms: -16 + 5 = -11 -11 + 24x + -10x = 8 + -1(9 + -3x) Combine like terms: 24x + -10x = 14x -11 + 14x = 8 + -1(9 + -3x) -11 + 14x = 8 + (9 * -1 + -3x * -1) -11 + 14x = 8 + (-9 + 3x) Combine like terms: 8 + -9 = -1 -11 + 14x = -1 + 3x Solving -11 + 14x = -1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -11 + 14x + -3x = -1 + 3x + -3x Combine like terms: 14x + -3x = 11x -11 + 11x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 -11 + 11x = -1 + 0 -11 + 11x = -1 Add '11' to each side of the equation. -11 + 11 + 11x = -1 + 11 Combine like terms: -11 + 11 = 0 0 + 11x = -1 + 11 11x = -1 + 11 Combine like terms: -1 + 11 = 10 11x = 10 Divide each side by '11'. x = 0.9090909091 Simplifying x = 0.9090909091
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