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Simplifying 2(x + -5) = 3 + 5(x + -8) Reorder the terms: 2(-5 + x) = 3 + 5(x + -8) (-5 * 2 + x * 2) = 3 + 5(x + -8) (-10 + 2x) = 3 + 5(x + -8) Reorder the terms: -10 + 2x = 3 + 5(-8 + x) -10 + 2x = 3 + (-8 * 5 + x * 5) -10 + 2x = 3 + (-40 + 5x) Combine like terms: 3 + -40 = -37 -10 + 2x = -37 + 5x Solving -10 + 2x = -37 + 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. -10 + 2x + -5x = -37 + 5x + -5x Combine like terms: 2x + -5x = -3x -10 + -3x = -37 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + -3x = -37 + 0 -10 + -3x = -37 Add '10' to each side of the equation. -10 + 10 + -3x = -37 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = -37 + 10 -3x = -37 + 10 Combine like terms: -37 + 10 = -27 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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