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