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Simplifying 8(6 + -5x) + -2(3 + -1x) = 29 (6 * 8 + -5x * 8) + -2(3 + -1x) = 29 (48 + -40x) + -2(3 + -1x) = 29 48 + -40x + (3 * -2 + -1x * -2) = 29 48 + -40x + (-6 + 2x) = 29 Reorder the terms: 48 + -6 + -40x + 2x = 29 Combine like terms: 48 + -6 = 42 42 + -40x + 2x = 29 Combine like terms: -40x + 2x = -38x 42 + -38x = 29 Solving 42 + -38x = 29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -38x = 29 + -42 Combine like terms: 42 + -42 = 0 0 + -38x = 29 + -42 -38x = 29 + -42 Combine like terms: 29 + -42 = -13 -38x = -13 Divide each side by '-38'. x = 0.3421052632 Simplifying x = 0.3421052632
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