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Simplifying -20 + 5x = 7(x + -1) + -7 Reorder the terms: -20 + 5x = 7(-1 + x) + -7 -20 + 5x = (-1 * 7 + x * 7) + -7 -20 + 5x = (-7 + 7x) + -7 Reorder the terms: -20 + 5x = -7 + -7 + 7x Combine like terms: -7 + -7 = -14 -20 + 5x = -14 + 7x Solving -20 + 5x = -14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -20 + 5x + -7x = -14 + 7x + -7x Combine like terms: 5x + -7x = -2x -20 + -2x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 -20 + -2x = -14 + 0 -20 + -2x = -14 Add '20' to each side of the equation. -20 + 20 + -2x = -14 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = -14 + 20 -2x = -14 + 20 Combine like terms: -14 + 20 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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