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Simplifying 8 + -2(3x + -2) = 2(4 + -5x) Reorder the terms: 8 + -2(-2 + 3x) = 2(4 + -5x) 8 + (-2 * -2 + 3x * -2) = 2(4 + -5x) 8 + (4 + -6x) = 2(4 + -5x) Combine like terms: 8 + 4 = 12 12 + -6x = 2(4 + -5x) 12 + -6x = (4 * 2 + -5x * 2) 12 + -6x = (8 + -10x) Solving 12 + -6x = 8 + -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 = 8 + -10x + 10x Combine like terms: -6x + 10x = 4x 12 + 4x = 8 + -10x + 10x Combine like terms: -10x + 10x = 0 12 + 4x = 8 + 0 12 + 4x = 8 Add '-12' to each side of the equation. 12 + -12 + 4x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 8 + -12 4x = 8 + -12 Combine like terms: 8 + -12 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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