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Simplifying 4(-2x + 3) = 8x + 12 Reorder the terms: 4(3 + -2x) = 8x + 12 (3 * 4 + -2x * 4) = 8x + 12 (12 + -8x) = 8x + 12 Reorder the terms: 12 + -8x = 12 + 8x Add '-12' to each side of the equation. 12 + -12 + -8x = 12 + -12 + 8x Combine like terms: 12 + -12 = 0 0 + -8x = 12 + -12 + 8x -8x = 12 + -12 + 8x Combine like terms: 12 + -12 = 0 -8x = 0 + 8x -8x = 8x Solving -8x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -8x + -8x = 8x + -8x Combine like terms: -8x + -8x = -16x -16x = 8x + -8x Combine like terms: 8x + -8x = 0 -16x = 0 Divide each side by '-16'. x = 0 Simplifying x = 0
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