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Simplifying -5(x + -3) = 7(x + -3) Reorder the terms: -5(-3 + x) = 7(x + -3) (-3 * -5 + x * -5) = 7(x + -3) (15 + -5x) = 7(x + -3) Reorder the terms: 15 + -5x = 7(-3 + x) 15 + -5x = (-3 * 7 + x * 7) 15 + -5x = (-21 + 7x) Solving 15 + -5x = -21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 15 + -5x + -7x = -21 + 7x + -7x Combine like terms: -5x + -7x = -12x 15 + -12x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + -12x = -21 + 0 15 + -12x = -21 Add '-15' to each side of the equation. 15 + -15 + -12x = -21 + -15 Combine like terms: 15 + -15 = 0 0 + -12x = -21 + -15 -12x = -21 + -15 Combine like terms: -21 + -15 = -36 -12x = -36 Divide each side by '-12'. x = 3 Simplifying x = 3
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