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Simplifying -2(x + -7) = 7x + -2(x + 1) + 24 Reorder the terms: -2(-7 + x) = 7x + -2(x + 1) + 24 (-7 * -2 + x * -2) = 7x + -2(x + 1) + 24 (14 + -2x) = 7x + -2(x + 1) + 24 Reorder the terms: 14 + -2x = 7x + -2(1 + x) + 24 14 + -2x = 7x + (1 * -2 + x * -2) + 24 14 + -2x = 7x + (-2 + -2x) + 24 Reorder the terms: 14 + -2x = -2 + 24 + 7x + -2x Combine like terms: -2 + 24 = 22 14 + -2x = 22 + 7x + -2x Combine like terms: 7x + -2x = 5x 14 + -2x = 22 + 5x Solving 14 + -2x = 22 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 14 + -2x + -5x = 22 + 5x + -5x Combine like terms: -2x + -5x = -7x 14 + -7x = 22 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + -7x = 22 + 0 14 + -7x = 22 Add '-14' to each side of the equation. 14 + -14 + -7x = 22 + -14 Combine like terms: 14 + -14 = 0 0 + -7x = 22 + -14 -7x = 22 + -14 Combine like terms: 22 + -14 = 8 -7x = 8 Divide each side by '-7'. x = -1.142857143 Simplifying x = -1.142857143
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