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Simplifying 8(5 + 13x) + -1(-2x + 8) = 32 (5 * 8 + 13x * 8) + -1(-2x + 8) = 32 (40 + 104x) + -1(-2x + 8) = 32 Reorder the terms: 40 + 104x + -1(8 + -2x) = 32 40 + 104x + (8 * -1 + -2x * -1) = 32 40 + 104x + (-8 + 2x) = 32 Reorder the terms: 40 + -8 + 104x + 2x = 32 Combine like terms: 40 + -8 = 32 32 + 104x + 2x = 32 Combine like terms: 104x + 2x = 106x 32 + 106x = 32 Add '-32' to each side of the equation. 32 + -32 + 106x = 32 + -32 Combine like terms: 32 + -32 = 0 0 + 106x = 32 + -32 106x = 32 + -32 Combine like terms: 32 + -32 = 0 106x = 0 Solving 106x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '106'. x = 0 Simplifying x = 0
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