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Simplifying 6(5x + 8) + 2(4x + -3) + -7 = 32 Reorder the terms: 6(8 + 5x) + 2(4x + -3) + -7 = 32 (8 * 6 + 5x * 6) + 2(4x + -3) + -7 = 32 (48 + 30x) + 2(4x + -3) + -7 = 32 Reorder the terms: 48 + 30x + 2(-3 + 4x) + -7 = 32 48 + 30x + (-3 * 2 + 4x * 2) + -7 = 32 48 + 30x + (-6 + 8x) + -7 = 32 Reorder the terms: 48 + -6 + -7 + 30x + 8x = 32 Combine like terms: 48 + -6 = 42 42 + -7 + 30x + 8x = 32 Combine like terms: 42 + -7 = 35 35 + 30x + 8x = 32 Combine like terms: 30x + 8x = 38x 35 + 38x = 32 Solving 35 + 38x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 38x = 32 + -35 Combine like terms: 35 + -35 = 0 0 + 38x = 32 + -35 38x = 32 + -35 Combine like terms: 32 + -35 = -3 38x = -3 Divide each side by '38'. x = -0.07894736842 Simplifying x = -0.07894736842
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