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Simplifying -5(x + -7) = 30 + -1(2x + -1) Reorder the terms: -5(-7 + x) = 30 + -1(2x + -1) (-7 * -5 + x * -5) = 30 + -1(2x + -1) (35 + -5x) = 30 + -1(2x + -1) Reorder the terms: 35 + -5x = 30 + -1(-1 + 2x) 35 + -5x = 30 + (-1 * -1 + 2x * -1) 35 + -5x = 30 + (1 + -2x) Combine like terms: 30 + 1 = 31 35 + -5x = 31 + -2x Solving 35 + -5x = 31 + -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 = 31 + -2x + 2x Combine like terms: -5x + 2x = -3x 35 + -3x = 31 + -2x + 2x Combine like terms: -2x + 2x = 0 35 + -3x = 31 + 0 35 + -3x = 31 Add '-35' to each side of the equation. 35 + -35 + -3x = 31 + -35 Combine like terms: 35 + -35 = 0 0 + -3x = 31 + -35 -3x = 31 + -35 Combine like terms: 31 + -35 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333
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