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Simplifying 5(x + -4) = 2(2x + 7) Reorder the terms: 5(-4 + x) = 2(2x + 7) (-4 * 5 + x * 5) = 2(2x + 7) (-20 + 5x) = 2(2x + 7) Reorder the terms: -20 + 5x = 2(7 + 2x) -20 + 5x = (7 * 2 + 2x * 2) -20 + 5x = (14 + 4x) Solving -20 + 5x = 14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -20 + 5x + -4x = 14 + 4x + -4x Combine like terms: 5x + -4x = 1x -20 + 1x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 -20 + 1x = 14 + 0 -20 + 1x = 14 Add '20' to each side of the equation. -20 + 20 + 1x = 14 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = 14 + 20 1x = 14 + 20 Combine like terms: 14 + 20 = 34 1x = 34 Divide each side by '1'. x = 34 Simplifying x = 34
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