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Simplifying 5(-1x + 2) = -3(7x + 2) + 8x Reorder the terms: 5(2 + -1x) = -3(7x + 2) + 8x (2 * 5 + -1x * 5) = -3(7x + 2) + 8x (10 + -5x) = -3(7x + 2) + 8x Reorder the terms: 10 + -5x = -3(2 + 7x) + 8x 10 + -5x = (2 * -3 + 7x * -3) + 8x 10 + -5x = (-6 + -21x) + 8x Combine like terms: -21x + 8x = -13x 10 + -5x = -6 + -13x Solving 10 + -5x = -6 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 10 + -5x + 13x = -6 + -13x + 13x Combine like terms: -5x + 13x = 8x 10 + 8x = -6 + -13x + 13x Combine like terms: -13x + 13x = 0 10 + 8x = -6 + 0 10 + 8x = -6 Add '-10' to each side of the equation. 10 + -10 + 8x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = -6 + -10 8x = -6 + -10 Combine like terms: -6 + -10 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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