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Simplifying -1(x + -7) + 20 = 7x + -10 Reorder the terms: -1(-7 + x) + 20 = 7x + -10 (-7 * -1 + x * -1) + 20 = 7x + -10 (7 + -1x) + 20 = 7x + -10 Reorder the terms: 7 + 20 + -1x = 7x + -10 Combine like terms: 7 + 20 = 27 27 + -1x = 7x + -10 Reorder the terms: 27 + -1x = -10 + 7x Solving 27 + -1x = -10 + 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. 27 + -1x + -7x = -10 + 7x + -7x Combine like terms: -1x + -7x = -8x 27 + -8x = -10 + 7x + -7x Combine like terms: 7x + -7x = 0 27 + -8x = -10 + 0 27 + -8x = -10 Add '-27' to each side of the equation. 27 + -27 + -8x = -10 + -27 Combine like terms: 27 + -27 = 0 0 + -8x = -10 + -27 -8x = -10 + -27 Combine like terms: -10 + -27 = -37 -8x = -37 Divide each side by '-8'. x = 4.625 Simplifying x = 4.625
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