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Simplifying 5(x + 4) = 13x + -32 Reorder the terms: 5(4 + x) = 13x + -32 (4 * 5 + x * 5) = 13x + -32 (20 + 5x) = 13x + -32 Reorder the terms: 20 + 5x = -32 + 13x Solving 20 + 5x = -32 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 20 + 5x + -13x = -32 + 13x + -13x Combine like terms: 5x + -13x = -8x 20 + -8x = -32 + 13x + -13x Combine like terms: 13x + -13x = 0 20 + -8x = -32 + 0 20 + -8x = -32 Add '-20' to each side of the equation. 20 + -20 + -8x = -32 + -20 Combine like terms: 20 + -20 = 0 0 + -8x = -32 + -20 -8x = -32 + -20 Combine like terms: -32 + -20 = -52 -8x = -52 Divide each side by '-8'. x = 6.5 Simplifying x = 6.5
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