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Simplifying 2x + -4(7x + -12) = 178 Reorder the terms: 2x + -4(-12 + 7x) = 178 2x + (-12 * -4 + 7x * -4) = 178 2x + (48 + -28x) = 178 Reorder the terms: 48 + 2x + -28x = 178 Combine like terms: 2x + -28x = -26x 48 + -26x = 178 Solving 48 + -26x = 178 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -26x = 178 + -48 Combine like terms: 48 + -48 = 0 0 + -26x = 178 + -48 -26x = 178 + -48 Combine like terms: 178 + -48 = 130 -26x = 130 Divide each side by '-26'. x = -5 Simplifying x = -5
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