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Simplifying -4(x + -2) = 2(3x + -1) Reorder the terms: -4(-2 + x) = 2(3x + -1) (-2 * -4 + x * -4) = 2(3x + -1) (8 + -4x) = 2(3x + -1) Reorder the terms: 8 + -4x = 2(-1 + 3x) 8 + -4x = (-1 * 2 + 3x * 2) 8 + -4x = (-2 + 6x) Solving 8 + -4x = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + -4x + -6x = -2 + 6x + -6x Combine like terms: -4x + -6x = -10x 8 + -10x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -10x = -2 + 0 8 + -10x = -2 Add '-8' to each side of the equation. 8 + -8 + -10x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = -2 + -8 -10x = -2 + -8 Combine like terms: -2 + -8 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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