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Simplifying 5(x + 4) = 2(4x + -5) Reorder the terms: 5(4 + x) = 2(4x + -5) (4 * 5 + x * 5) = 2(4x + -5) (20 + 5x) = 2(4x + -5) Reorder the terms: 20 + 5x = 2(-5 + 4x) 20 + 5x = (-5 * 2 + 4x * 2) 20 + 5x = (-10 + 8x) Solving 20 + 5x = -10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 20 + 5x + -8x = -10 + 8x + -8x Combine like terms: 5x + -8x = -3x 20 + -3x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 20 + -3x = -10 + 0 20 + -3x = -10 Add '-20' to each side of the equation. 20 + -20 + -3x = -10 + -20 Combine like terms: 20 + -20 = 0 0 + -3x = -10 + -20 -3x = -10 + -20 Combine like terms: -10 + -20 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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