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Simplifying 5(2 + -1x) = 4(x + -2) (2 * 5 + -1x * 5) = 4(x + -2) (10 + -5x) = 4(x + -2) Reorder the terms: 10 + -5x = 4(-2 + x) 10 + -5x = (-2 * 4 + x * 4) 10 + -5x = (-8 + 4x) Solving 10 + -5x = -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 + -5x + -4x = -8 + 4x + -4x Combine like terms: -5x + -4x = -9x 10 + -9x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -9x = -8 + 0 10 + -9x = -8 Add '-10' to each side of the equation. 10 + -10 + -9x = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -9x = -8 + -10 -9x = -8 + -10 Combine like terms: -8 + -10 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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