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Simplifying 5(x + 4) + -4 = x + 32 Reorder the terms: 5(4 + x) + -4 = x + 32 (4 * 5 + x * 5) + -4 = x + 32 (20 + 5x) + -4 = x + 32 Reorder the terms: 20 + -4 + 5x = x + 32 Combine like terms: 20 + -4 = 16 16 + 5x = x + 32 Reorder the terms: 16 + 5x = 32 + x Solving 16 + 5x = 32 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 16 + 5x + -1x = 32 + x + -1x Combine like terms: 5x + -1x = 4x 16 + 4x = 32 + x + -1x Combine like terms: x + -1x = 0 16 + 4x = 32 + 0 16 + 4x = 32 Add '-16' to each side of the equation. 16 + -16 + 4x = 32 + -16 Combine like terms: 16 + -16 = 0 0 + 4x = 32 + -16 4x = 32 + -16 Combine like terms: 32 + -16 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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