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Simplifying 13 + -2(4x + -2) = 3(-2x + -1) + 8x Reorder the terms: 13 + -2(-2 + 4x) = 3(-2x + -1) + 8x 13 + (-2 * -2 + 4x * -2) = 3(-2x + -1) + 8x 13 + (4 + -8x) = 3(-2x + -1) + 8x Combine like terms: 13 + 4 = 17 17 + -8x = 3(-2x + -1) + 8x Reorder the terms: 17 + -8x = 3(-1 + -2x) + 8x 17 + -8x = (-1 * 3 + -2x * 3) + 8x 17 + -8x = (-3 + -6x) + 8x Combine like terms: -6x + 8x = 2x 17 + -8x = -3 + 2x Solving 17 + -8x = -3 + 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. 17 + -8x + -2x = -3 + 2x + -2x Combine like terms: -8x + -2x = -10x 17 + -10x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 17 + -10x = -3 + 0 17 + -10x = -3 Add '-17' to each side of the equation. 17 + -17 + -10x = -3 + -17 Combine like terms: 17 + -17 = 0 0 + -10x = -3 + -17 -10x = -3 + -17 Combine like terms: -3 + -17 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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