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Simplifying 5(x + -2) = 4(2x + 5) Reorder the terms: 5(-2 + x) = 4(2x + 5) (-2 * 5 + x * 5) = 4(2x + 5) (-10 + 5x) = 4(2x + 5) Reorder the terms: -10 + 5x = 4(5 + 2x) -10 + 5x = (5 * 4 + 2x * 4) -10 + 5x = (20 + 8x) Solving -10 + 5x = 20 + 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. -10 + 5x + -8x = 20 + 8x + -8x Combine like terms: 5x + -8x = -3x -10 + -3x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 -10 + -3x = 20 + 0 -10 + -3x = 20 Add '10' to each side of the equation. -10 + 10 + -3x = 20 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = 20 + 10 -3x = 20 + 10 Combine like terms: 20 + 10 = 30 -3x = 30 Divide each side by '-3'. x = -10 Simplifying x = -10
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