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Simplifying 2 + -2(3x + -5) = 5x + 5(x + -8) Reorder the terms: 2 + -2(-5 + 3x) = 5x + 5(x + -8) 2 + (-5 * -2 + 3x * -2) = 5x + 5(x + -8) 2 + (10 + -6x) = 5x + 5(x + -8) Combine like terms: 2 + 10 = 12 12 + -6x = 5x + 5(x + -8) Reorder the terms: 12 + -6x = 5x + 5(-8 + x) 12 + -6x = 5x + (-8 * 5 + x * 5) 12 + -6x = 5x + (-40 + 5x) Reorder the terms: 12 + -6x = -40 + 5x + 5x Combine like terms: 5x + 5x = 10x 12 + -6x = -40 + 10x Solving 12 + -6x = -40 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + -6x + -10x = -40 + 10x + -10x Combine like terms: -6x + -10x = -16x 12 + -16x = -40 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -16x = -40 + 0 12 + -16x = -40 Add '-12' to each side of the equation. 12 + -12 + -16x = -40 + -12 Combine like terms: 12 + -12 = 0 0 + -16x = -40 + -12 -16x = -40 + -12 Combine like terms: -40 + -12 = -52 -16x = -52 Divide each side by '-16'. x = 3.25 Simplifying x = 3.25
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