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Simplifying 5x + -2(2x + -5) = 4(x + 2) Reorder the terms: 5x + -2(-5 + 2x) = 4(x + 2) 5x + (-5 * -2 + 2x * -2) = 4(x + 2) 5x + (10 + -4x) = 4(x + 2) Reorder the terms: 10 + 5x + -4x = 4(x + 2) Combine like terms: 5x + -4x = 1x 10 + 1x = 4(x + 2) Reorder the terms: 10 + 1x = 4(2 + x) 10 + 1x = (2 * 4 + x * 4) 10 + 1x = (8 + 4x) Solving 10 + 1x = 8 + 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. 10 + 1x + -4x = 8 + 4x + -4x Combine like terms: 1x + -4x = -3x 10 + -3x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -3x = 8 + 0 10 + -3x = 8 Add '-10' to each side of the equation. 10 + -10 + -3x = 8 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 8 + -10 -3x = 8 + -10 Combine like terms: 8 + -10 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667
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