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Simplifying 12(x + 4) = x + -7 Reorder the terms: 12(4 + x) = x + -7 (4 * 12 + x * 12) = x + -7 (48 + 12x) = x + -7 Reorder the terms: 48 + 12x = -7 + x Solving 48 + 12x = -7 + 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. 48 + 12x + -1x = -7 + x + -1x Combine like terms: 12x + -1x = 11x 48 + 11x = -7 + x + -1x Combine like terms: x + -1x = 0 48 + 11x = -7 + 0 48 + 11x = -7 Add '-48' to each side of the equation. 48 + -48 + 11x = -7 + -48 Combine like terms: 48 + -48 = 0 0 + 11x = -7 + -48 11x = -7 + -48 Combine like terms: -7 + -48 = -55 11x = -55 Divide each side by '11'. x = -5 Simplifying x = -5
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