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Simplifying -142 = 2x + -7(4x + -2) Reorder the terms: -142 = 2x + -7(-2 + 4x) -142 = 2x + (-2 * -7 + 4x * -7) -142 = 2x + (14 + -28x) Reorder the terms: -142 = 14 + 2x + -28x Combine like terms: 2x + -28x = -26x -142 = 14 + -26x Solving -142 = 14 + -26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26x' to each side of the equation. -142 + 26x = 14 + -26x + 26x Combine like terms: -26x + 26x = 0 -142 + 26x = 14 + 0 -142 + 26x = 14 Add '142' to each side of the equation. -142 + 142 + 26x = 14 + 142 Combine like terms: -142 + 142 = 0 0 + 26x = 14 + 142 26x = 14 + 142 Combine like terms: 14 + 142 = 156 26x = 156 Divide each side by '26'. x = 6 Simplifying x = 6
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