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Simplifying 2(x + -5) = 5(x + -8) + -3 Reorder the terms: 2(-5 + x) = 5(x + -8) + -3 (-5 * 2 + x * 2) = 5(x + -8) + -3 (-10 + 2x) = 5(x + -8) + -3 Reorder the terms: -10 + 2x = 5(-8 + x) + -3 -10 + 2x = (-8 * 5 + x * 5) + -3 -10 + 2x = (-40 + 5x) + -3 Reorder the terms: -10 + 2x = -40 + -3 + 5x Combine like terms: -40 + -3 = -43 -10 + 2x = -43 + 5x Solving -10 + 2x = -43 + 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 = -43 + 5x + -5x Combine like terms: 2x + -5x = -3x -10 + -3x = -43 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + -3x = -43 + 0 -10 + -3x = -43 Add '10' to each side of the equation. -10 + 10 + -3x = -43 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = -43 + 10 -3x = -43 + 10 Combine like terms: -43 + 10 = -33 -3x = -33 Divide each side by '-3'. x = 11 Simplifying x = 11
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