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Simplifying -5(2 + -3) = 2(x + -7) + -67 Combine like terms: 2 + -3 = -1 -5(-1) = 2(x + -7) + -67 Multiply -5 * -1 5 = 2(x + -7) + -67 Reorder the terms: 5 = 2(-7 + x) + -67 5 = (-7 * 2 + x * 2) + -67 5 = (-14 + 2x) + -67 Reorder the terms: 5 = -14 + -67 + 2x Combine like terms: -14 + -67 = -81 5 = -81 + 2x Solving 5 = -81 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + -2x = -81 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -2x = -81 + 0 5 + -2x = -81 Add '-5' to each side of the equation. 5 + -5 + -2x = -81 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = -81 + -5 -2x = -81 + -5 Combine like terms: -81 + -5 = -86 -2x = -86 Divide each side by '-2'. x = 43 Simplifying x = 43
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