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Simplifying -2(3x + -5) = 5 + -1(3x + 7) Reorder the terms: -2(-5 + 3x) = 5 + -1(3x + 7) (-5 * -2 + 3x * -2) = 5 + -1(3x + 7) (10 + -6x) = 5 + -1(3x + 7) Reorder the terms: 10 + -6x = 5 + -1(7 + 3x) 10 + -6x = 5 + (7 * -1 + 3x * -1) 10 + -6x = 5 + (-7 + -3x) Combine like terms: 5 + -7 = -2 10 + -6x = -2 + -3x Solving 10 + -6x = -2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 10 + -6x + 3x = -2 + -3x + 3x Combine like terms: -6x + 3x = -3x 10 + -3x = -2 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + -3x = -2 + 0 10 + -3x = -2 Add '-10' to each side of the equation. 10 + -10 + -3x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = -2 + -10 -3x = -2 + -10 Combine like terms: -2 + -10 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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