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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 = 29 35 + -5x = 29 + -2x Solving 35 + -5x = 29 + -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 = 29 + -2x + 2x Combine like terms: -5x + 2x = -3x 35 + -3x = 29 + -2x + 2x Combine like terms: -2x + 2x = 0 35 + -3x = 29 + 0 35 + -3x = 29 Add '-35' to each side of the equation. 35 + -35 + -3x = 29 + -35 Combine like terms: 35 + -35 = 0 0 + -3x = 29 + -35 -3x = 29 + -35 Combine like terms: 29 + -35 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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