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Simplifying -5(x + -7) = 2(x + 2) + -7 Reorder the terms: -5(-7 + x) = 2(x + 2) + -7 (-7 * -5 + x * -5) = 2(x + 2) + -7 (35 + -5x) = 2(x + 2) + -7 Reorder the terms: 35 + -5x = 2(2 + x) + -7 35 + -5x = (2 * 2 + x * 2) + -7 35 + -5x = (4 + 2x) + -7 Reorder the terms: 35 + -5x = 4 + -7 + 2x Combine like terms: 4 + -7 = -3 35 + -5x = -3 + 2x Solving 35 + -5x = -3 + 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. 35 + -5x + -2x = -3 + 2x + -2x Combine like terms: -5x + -2x = -7x 35 + -7x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 35 + -7x = -3 + 0 35 + -7x = -3 Add '-35' to each side of the equation. 35 + -35 + -7x = -3 + -35 Combine like terms: 35 + -35 = 0 0 + -7x = -3 + -35 -7x = -3 + -35 Combine like terms: -3 + -35 = -38 -7x = -38 Divide each side by '-7'. x = 5.428571429 Simplifying x = 5.428571429
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