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Simplifying 4(1 + -2x) = 12 + -7x (1 * 4 + -2x * 4) = 12 + -7x (4 + -8x) = 12 + -7x Solving 4 + -8x = 12 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 4 + -8x + 7x = 12 + -7x + 7x Combine like terms: -8x + 7x = -1x 4 + -1x = 12 + -7x + 7x Combine like terms: -7x + 7x = 0 4 + -1x = 12 + 0 4 + -1x = 12 Add '-4' to each side of the equation. 4 + -4 + -1x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 12 + -4 -1x = 12 + -4 Combine like terms: 12 + -4 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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