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