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Simplifying 4(x + 12) = 12 + -4x Reorder the terms: 4(12 + x) = 12 + -4x (12 * 4 + x * 4) = 12 + -4x (48 + 4x) = 12 + -4x Solving 48 + 4x = 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. 48 + 4x + 4x = 12 + -4x + 4x Combine like terms: 4x + 4x = 8x 48 + 8x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 48 + 8x = 12 + 0 48 + 8x = 12 Add '-48' to each side of the equation. 48 + -48 + 8x = 12 + -48 Combine like terms: 48 + -48 = 0 0 + 8x = 12 + -48 8x = 12 + -48 Combine like terms: 12 + -48 = -36 8x = -36 Divide each side by '8'. x = -4.5 Simplifying x = -4.5
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