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Simplifying 4(x + 6) = -12 + x Reorder the terms: 4(6 + x) = -12 + x (6 * 4 + x * 4) = -12 + x (24 + 4x) = -12 + x Solving 24 + 4x = -12 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 24 + 4x + -1x = -12 + x + -1x Combine like terms: 4x + -1x = 3x 24 + 3x = -12 + x + -1x Combine like terms: x + -1x = 0 24 + 3x = -12 + 0 24 + 3x = -12 Add '-24' to each side of the equation. 24 + -24 + 3x = -12 + -24 Combine like terms: 24 + -24 = 0 0 + 3x = -12 + -24 3x = -12 + -24 Combine like terms: -12 + -24 = -36 3x = -36 Divide each side by '3'. x = -12 Simplifying x = -12
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