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Simplifying 7(x + 28) + -12(x + 2) = 142 Reorder the terms: 7(28 + x) + -12(x + 2) = 142 (28 * 7 + x * 7) + -12(x + 2) = 142 (196 + 7x) + -12(x + 2) = 142 Reorder the terms: 196 + 7x + -12(2 + x) = 142 196 + 7x + (2 * -12 + x * -12) = 142 196 + 7x + (-24 + -12x) = 142 Reorder the terms: 196 + -24 + 7x + -12x = 142 Combine like terms: 196 + -24 = 172 172 + 7x + -12x = 142 Combine like terms: 7x + -12x = -5x 172 + -5x = 142 Solving 172 + -5x = 142 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-172' to each side of the equation. 172 + -172 + -5x = 142 + -172 Combine like terms: 172 + -172 = 0 0 + -5x = 142 + -172 -5x = 142 + -172 Combine like terms: 142 + -172 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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