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Simplifying 20 = 3(x + -1) + -1(x + -7) Reorder the terms: 20 = 3(-1 + x) + -1(x + -7) 20 = (-1 * 3 + x * 3) + -1(x + -7) 20 = (-3 + 3x) + -1(x + -7) Reorder the terms: 20 = -3 + 3x + -1(-7 + x) 20 = -3 + 3x + (-7 * -1 + x * -1) 20 = -3 + 3x + (7 + -1x) Reorder the terms: 20 = -3 + 7 + 3x + -1x Combine like terms: -3 + 7 = 4 20 = 4 + 3x + -1x Combine like terms: 3x + -1x = 2x 20 = 4 + 2x Solving 20 = 4 + 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. 20 + -2x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + -2x = 4 + 0 20 + -2x = 4 Add '-20' to each side of the equation. 20 + -20 + -2x = 4 + -20 Combine like terms: 20 + -20 = 0 0 + -2x = 4 + -20 -2x = 4 + -20 Combine like terms: 4 + -20 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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