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Simplifying 5(2 + -1x) + -2(x + 1) = 4(5 + -2x) (2 * 5 + -1x * 5) + -2(x + 1) = 4(5 + -2x) (10 + -5x) + -2(x + 1) = 4(5 + -2x) Reorder the terms: 10 + -5x + -2(1 + x) = 4(5 + -2x) 10 + -5x + (1 * -2 + x * -2) = 4(5 + -2x) 10 + -5x + (-2 + -2x) = 4(5 + -2x) Reorder the terms: 10 + -2 + -5x + -2x = 4(5 + -2x) Combine like terms: 10 + -2 = 8 8 + -5x + -2x = 4(5 + -2x) Combine like terms: -5x + -2x = -7x 8 + -7x = 4(5 + -2x) 8 + -7x = (5 * 4 + -2x * 4) 8 + -7x = (20 + -8x) Solving 8 + -7x = 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. 8 + -7x + 8x = 20 + -8x + 8x Combine like terms: -7x + 8x = 1x 8 + 1x = 20 + -8x + 8x Combine like terms: -8x + 8x = 0 8 + 1x = 20 + 0 8 + 1x = 20 Add '-8' to each side of the equation. 8 + -8 + 1x = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 20 + -8 1x = 20 + -8 Combine like terms: 20 + -8 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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