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Simplifying 4(2x + 12) + -6x = 0 Reorder the terms: 4(12 + 2x) + -6x = 0 (12 * 4 + 2x * 4) + -6x = 0 (48 + 8x) + -6x = 0 Combine like terms: 8x + -6x = 2x 48 + 2x = 0 Solving 48 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 2x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 2x = 0 + -48 2x = 0 + -48 Combine like terms: 0 + -48 = -48 2x = -48 Divide each side by '2'. x = -24 Simplifying x = -24
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