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Simplifying -5(x + -6) = -3(x + 7) + x Reorder the terms: -5(-6 + x) = -3(x + 7) + x (-6 * -5 + x * -5) = -3(x + 7) + x (30 + -5x) = -3(x + 7) + x Reorder the terms: 30 + -5x = -3(7 + x) + x 30 + -5x = (7 * -3 + x * -3) + x 30 + -5x = (-21 + -3x) + x Combine like terms: -3x + x = -2x 30 + -5x = -21 + -2x Solving 30 + -5x = -21 + -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. 30 + -5x + 2x = -21 + -2x + 2x Combine like terms: -5x + 2x = -3x 30 + -3x = -21 + -2x + 2x Combine like terms: -2x + 2x = 0 30 + -3x = -21 + 0 30 + -3x = -21 Add '-30' to each side of the equation. 30 + -30 + -3x = -21 + -30 Combine like terms: 30 + -30 = 0 0 + -3x = -21 + -30 -3x = -21 + -30 Combine like terms: -21 + -30 = -51 -3x = -51 Divide each side by '-3'. x = 17 Simplifying x = 17
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