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Simplifying 9(4x + 2) + -32(2x + -6) = 56(5x + 1) Reorder the terms: 9(2 + 4x) + -32(2x + -6) = 56(5x + 1) (2 * 9 + 4x * 9) + -32(2x + -6) = 56(5x + 1) (18 + 36x) + -32(2x + -6) = 56(5x + 1) Reorder the terms: 18 + 36x + -32(-6 + 2x) = 56(5x + 1) 18 + 36x + (-6 * -32 + 2x * -32) = 56(5x + 1) 18 + 36x + (192 + -64x) = 56(5x + 1) Reorder the terms: 18 + 192 + 36x + -64x = 56(5x + 1) Combine like terms: 18 + 192 = 210 210 + 36x + -64x = 56(5x + 1) Combine like terms: 36x + -64x = -28x 210 + -28x = 56(5x + 1) Reorder the terms: 210 + -28x = 56(1 + 5x) 210 + -28x = (1 * 56 + 5x * 56) 210 + -28x = (56 + 280x) Solving 210 + -28x = 56 + 280x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-280x' to each side of the equation. 210 + -28x + -280x = 56 + 280x + -280x Combine like terms: -28x + -280x = -308x 210 + -308x = 56 + 280x + -280x Combine like terms: 280x + -280x = 0 210 + -308x = 56 + 0 210 + -308x = 56 Add '-210' to each side of the equation. 210 + -210 + -308x = 56 + -210 Combine like terms: 210 + -210 = 0 0 + -308x = 56 + -210 -308x = 56 + -210 Combine like terms: 56 + -210 = -154 -308x = -154 Divide each side by '-308'. x = 0.5 Simplifying x = 0.5
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