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Simplifying 8 + -3(2x + -4) = -2(-2x + 10) Reorder the terms: 8 + -3(-4 + 2x) = -2(-2x + 10) 8 + (-4 * -3 + 2x * -3) = -2(-2x + 10) 8 + (12 + -6x) = -2(-2x + 10) Combine like terms: 8 + 12 = 20 20 + -6x = -2(-2x + 10) Reorder the terms: 20 + -6x = -2(10 + -2x) 20 + -6x = (10 * -2 + -2x * -2) 20 + -6x = (-20 + 4x) Solving 20 + -6x = -20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 20 + -6x + -4x = -20 + 4x + -4x Combine like terms: -6x + -4x = -10x 20 + -10x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + -10x = -20 + 0 20 + -10x = -20 Add '-20' to each side of the equation. 20 + -20 + -10x = -20 + -20 Combine like terms: 20 + -20 = 0 0 + -10x = -20 + -20 -10x = -20 + -20 Combine like terms: -20 + -20 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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