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Simplifying 5(-1x + 12) = -3(7x + 2) + 8x Reorder the terms: 5(12 + -1x) = -3(7x + 2) + 8x (12 * 5 + -1x * 5) = -3(7x + 2) + 8x (60 + -5x) = -3(7x + 2) + 8x Reorder the terms: 60 + -5x = -3(2 + 7x) + 8x 60 + -5x = (2 * -3 + 7x * -3) + 8x 60 + -5x = (-6 + -21x) + 8x Combine like terms: -21x + 8x = -13x 60 + -5x = -6 + -13x Solving 60 + -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. 60 + -5x + 13x = -6 + -13x + 13x Combine like terms: -5x + 13x = 8x 60 + 8x = -6 + -13x + 13x Combine like terms: -13x + 13x = 0 60 + 8x = -6 + 0 60 + 8x = -6 Add '-60' to each side of the equation. 60 + -60 + 8x = -6 + -60 Combine like terms: 60 + -60 = 0 0 + 8x = -6 + -60 8x = -6 + -60 Combine like terms: -6 + -60 = -66 8x = -66 Divide each side by '8'. x = -8.25 Simplifying x = -8.25
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