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Simplifying 4(x + 6) + -2x = 12 + -4x Reorder the terms: 4(6 + x) + -2x = 12 + -4x (6 * 4 + x * 4) + -2x = 12 + -4x (24 + 4x) + -2x = 12 + -4x Combine like terms: 4x + -2x = 2x 24 + 2x = 12 + -4x Solving 24 + 2x = 12 + -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. 24 + 2x + 4x = 12 + -4x + 4x Combine like terms: 2x + 4x = 6x 24 + 6x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 24 + 6x = 12 + 0 24 + 6x = 12 Add '-24' to each side of the equation. 24 + -24 + 6x = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = 12 + -24 6x = 12 + -24 Combine like terms: 12 + -24 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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