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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 = 29x 10 + -5x = 6 + 29x Solving 10 + -5x = 6 + 29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29x' to each side of the equation. 10 + -5x + -29x = 6 + 29x + -29x Combine like terms: -5x + -29x = -34x 10 + -34x = 6 + 29x + -29x Combine like terms: 29x + -29x = 0 10 + -34x = 6 + 0 10 + -34x = 6 Add '-10' to each side of the equation. 10 + -10 + -34x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -34x = 6 + -10 -34x = 6 + -10 Combine like terms: 6 + -10 = -4 -34x = -4 Divide each side by '-34'. x = 0.1176470588 Simplifying x = 0.1176470588
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