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Simplifying 5(x + -4) = 1(x + 8) Reorder the terms: 5(-4 + x) = 1(x + 8) (-4 * 5 + x * 5) = 1(x + 8) (-20 + 5x) = 1(x + 8) Reorder the terms: -20 + 5x = 1(8 + x) -20 + 5x = (8 * 1 + x * 1) -20 + 5x = (8 + 1x) Solving -20 + 5x = 8 + 1x 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. -20 + 5x + -1x = 8 + 1x + -1x Combine like terms: 5x + -1x = 4x -20 + 4x = 8 + 1x + -1x Combine like terms: 1x + -1x = 0 -20 + 4x = 8 + 0 -20 + 4x = 8 Add '20' to each side of the equation. -20 + 20 + 4x = 8 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = 8 + 20 4x = 8 + 20 Combine like terms: 8 + 20 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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