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Simplifying -5(x + -4) = 2(2x + 1) Reorder the terms: -5(-4 + x) = 2(2x + 1) (-4 * -5 + x * -5) = 2(2x + 1) (20 + -5x) = 2(2x + 1) Reorder the terms: 20 + -5x = 2(1 + 2x) 20 + -5x = (1 * 2 + 2x * 2) 20 + -5x = (2 + 4x) Solving 20 + -5x = 2 + 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 = 2 + 4x + -4x Combine like terms: -5x + -4x = -9x 20 + -9x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + -9x = 2 + 0 20 + -9x = 2 Add '-20' to each side of the equation. 20 + -20 + -9x = 2 + -20 Combine like terms: 20 + -20 = 0 0 + -9x = 2 + -20 -9x = 2 + -20 Combine like terms: 2 + -20 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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