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Simplifying 3x + -5x + -20 = -1(x + -7) Reorder the terms: -20 + 3x + -5x = -1(x + -7) Combine like terms: 3x + -5x = -2x -20 + -2x = -1(x + -7) Reorder the terms: -20 + -2x = -1(-7 + x) -20 + -2x = (-7 * -1 + x * -1) -20 + -2x = (7 + -1x) Solving -20 + -2x = 7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -20 + -2x + x = 7 + -1x + x Combine like terms: -2x + x = -1x -20 + -1x = 7 + -1x + x Combine like terms: -1x + x = 0 -20 + -1x = 7 + 0 -20 + -1x = 7 Add '20' to each side of the equation. -20 + 20 + -1x = 7 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = 7 + 20 -1x = 7 + 20 Combine like terms: 7 + 20 = 27 -1x = 27 Divide each side by '-1'. x = -27 Simplifying x = -27
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