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Simplifying 2(1x + 2) = 5 + -3(2x + -1) Reorder the terms: 2(2 + 1x) = 5 + -3(2x + -1) (2 * 2 + 1x * 2) = 5 + -3(2x + -1) (4 + 2x) = 5 + -3(2x + -1) Reorder the terms: 4 + 2x = 5 + -3(-1 + 2x) 4 + 2x = 5 + (-1 * -3 + 2x * -3) 4 + 2x = 5 + (3 + -6x) Combine like terms: 5 + 3 = 8 4 + 2x = 8 + -6x Solving 4 + 2x = 8 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 4 + 2x + 6x = 8 + -6x + 6x Combine like terms: 2x + 6x = 8x 4 + 8x = 8 + -6x + 6x Combine like terms: -6x + 6x = 0 4 + 8x = 8 + 0 4 + 8x = 8 Add '-4' to each side of the equation. 4 + -4 + 8x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 8 + -4 8x = 8 + -4 Combine like terms: 8 + -4 = 4 8x = 4 Divide each side by '8'. x = 0.5 Simplifying x = 0.5
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