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Simplifying 3(x + 5) = 8(x + -5) Reorder the terms: 3(5 + x) = 8(x + -5) (5 * 3 + x * 3) = 8(x + -5) (15 + 3x) = 8(x + -5) Reorder the terms: 15 + 3x = 8(-5 + x) 15 + 3x = (-5 * 8 + x * 8) 15 + 3x = (-40 + 8x) Solving 15 + 3x = -40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 15 + 3x + -8x = -40 + 8x + -8x Combine like terms: 3x + -8x = -5x 15 + -5x = -40 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + -5x = -40 + 0 15 + -5x = -40 Add '-15' to each side of the equation. 15 + -15 + -5x = -40 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = -40 + -15 -5x = -40 + -15 Combine like terms: -40 + -15 = -55 -5x = -55 Divide each side by '-5'. x = 11 Simplifying x = 11
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