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Simplifying 5(x + -4) = 2(x + 1) + 2 Reorder the terms: 5(-4 + x) = 2(x + 1) + 2 (-4 * 5 + x * 5) = 2(x + 1) + 2 (-20 + 5x) = 2(x + 1) + 2 Reorder the terms: -20 + 5x = 2(1 + x) + 2 -20 + 5x = (1 * 2 + x * 2) + 2 -20 + 5x = (2 + 2x) + 2 Reorder the terms: -20 + 5x = 2 + 2 + 2x Combine like terms: 2 + 2 = 4 -20 + 5x = 4 + 2x Solving -20 + 5x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -20 + 5x + -2x = 4 + 2x + -2x Combine like terms: 5x + -2x = 3x -20 + 3x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 3x = 4 + 0 -20 + 3x = 4 Add '20' to each side of the equation. -20 + 20 + 3x = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = 4 + 20 3x = 4 + 20 Combine like terms: 4 + 20 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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