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Simplifying 4(3 + -1x) + 8 = -2(2 + -1x) (3 * 4 + -1x * 4) + 8 = -2(2 + -1x) (12 + -4x) + 8 = -2(2 + -1x) Reorder the terms: 12 + 8 + -4x = -2(2 + -1x) Combine like terms: 12 + 8 = 20 20 + -4x = -2(2 + -1x) 20 + -4x = (2 * -2 + -1x * -2) 20 + -4x = (-4 + 2x) Solving 20 + -4x = -4 + 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. 20 + -4x + -2x = -4 + 2x + -2x Combine like terms: -4x + -2x = -6x 20 + -6x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + -6x = -4 + 0 20 + -6x = -4 Add '-20' to each side of the equation. 20 + -20 + -6x = -4 + -20 Combine like terms: 20 + -20 = 0 0 + -6x = -4 + -20 -6x = -4 + -20 Combine like terms: -4 + -20 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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