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Simplifying 5(7 + -1x) = -2x + -27 (7 * 5 + -1x * 5) = -2x + -27 (35 + -5x) = -2x + -27 Reorder the terms: 35 + -5x = -27 + -2x Solving 35 + -5x = -27 + -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. 35 + -5x + 2x = -27 + -2x + 2x Combine like terms: -5x + 2x = -3x 35 + -3x = -27 + -2x + 2x Combine like terms: -2x + 2x = 0 35 + -3x = -27 + 0 35 + -3x = -27 Add '-35' to each side of the equation. 35 + -35 + -3x = -27 + -35 Combine like terms: 35 + -35 = 0 0 + -3x = -27 + -35 -3x = -27 + -35 Combine like terms: -27 + -35 = -62 -3x = -62 Divide each side by '-3'. x = 20.66666667 Simplifying x = 20.66666667
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