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Simplifying 2(x + 5) + -3(x + 8) = 5(x + -2) Reorder the terms: 2(5 + x) + -3(x + 8) = 5(x + -2) (5 * 2 + x * 2) + -3(x + 8) = 5(x + -2) (10 + 2x) + -3(x + 8) = 5(x + -2) Reorder the terms: 10 + 2x + -3(8 + x) = 5(x + -2) 10 + 2x + (8 * -3 + x * -3) = 5(x + -2) 10 + 2x + (-24 + -3x) = 5(x + -2) Reorder the terms: 10 + -24 + 2x + -3x = 5(x + -2) Combine like terms: 10 + -24 = -14 -14 + 2x + -3x = 5(x + -2) Combine like terms: 2x + -3x = -1x -14 + -1x = 5(x + -2) Reorder the terms: -14 + -1x = 5(-2 + x) -14 + -1x = (-2 * 5 + x * 5) -14 + -1x = (-10 + 5x) Solving -14 + -1x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -14 + -1x + -5x = -10 + 5x + -5x Combine like terms: -1x + -5x = -6x -14 + -6x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + -6x = -10 + 0 -14 + -6x = -10 Add '14' to each side of the equation. -14 + 14 + -6x = -10 + 14 Combine like terms: -14 + 14 = 0 0 + -6x = -10 + 14 -6x = -10 + 14 Combine like terms: -10 + 14 = 4 -6x = 4 Divide each side by '-6'. x = -0.6666666667 Simplifying x = -0.6666666667
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