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Simplifying 5(x + -8) + 24 = 2(x + -5) Reorder the terms: 5(-8 + x) + 24 = 2(x + -5) (-8 * 5 + x * 5) + 24 = 2(x + -5) (-40 + 5x) + 24 = 2(x + -5) Reorder the terms: -40 + 24 + 5x = 2(x + -5) Combine like terms: -40 + 24 = -16 -16 + 5x = 2(x + -5) Reorder the terms: -16 + 5x = 2(-5 + x) -16 + 5x = (-5 * 2 + x * 2) -16 + 5x = (-10 + 2x) Solving -16 + 5x = -10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -16 + 5x + -2x = -10 + 2x + -2x Combine like terms: 5x + -2x = 3x -16 + 3x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -16 + 3x = -10 + 0 -16 + 3x = -10 Add '16' to each side of the equation. -16 + 16 + 3x = -10 + 16 Combine like terms: -16 + 16 = 0 0 + 3x = -10 + 16 3x = -10 + 16 Combine like terms: -10 + 16 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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