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Simplifying 5(x + -4) + -8 = x + 32 Reorder the terms: 5(-4 + x) + -8 = x + 32 (-4 * 5 + x * 5) + -8 = x + 32 (-20 + 5x) + -8 = x + 32 Reorder the terms: -20 + -8 + 5x = x + 32 Combine like terms: -20 + -8 = -28 -28 + 5x = x + 32 Reorder the terms: -28 + 5x = 32 + x Solving -28 + 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. -28 + 5x + -1x = 32 + x + -1x Combine like terms: 5x + -1x = 4x -28 + 4x = 32 + x + -1x Combine like terms: x + -1x = 0 -28 + 4x = 32 + 0 -28 + 4x = 32 Add '28' to each side of the equation. -28 + 28 + 4x = 32 + 28 Combine like terms: -28 + 28 = 0 0 + 4x = 32 + 28 4x = 32 + 28 Combine like terms: 32 + 28 = 60 4x = 60 Divide each side by '4'. x = 15 Simplifying x = 15
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