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Simplifying 4(2x + 3) + -8x = 3x + -12 Reorder the terms: 4(3 + 2x) + -8x = 3x + -12 (3 * 4 + 2x * 4) + -8x = 3x + -12 (12 + 8x) + -8x = 3x + -12 Combine like terms: 8x + -8x = 0 12 + 0 = 3x + -12 12 = 3x + -12 Reorder the terms: 12 = -12 + 3x Solving 12 = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + -3x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -3x = -12 + 0 12 + -3x = -12 Add '-12' to each side of the equation. 12 + -12 + -3x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = -12 + -12 -3x = -12 + -12 Combine like terms: -12 + -12 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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