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Simplifying -2(-1x + -3) + 3(2x + -1) = 2(x + 7.5) Reorder the terms: -2(-3 + -1x) + 3(2x + -1) = 2(x + 7.5) (-3 * -2 + -1x * -2) + 3(2x + -1) = 2(x + 7.5) (6 + 2x) + 3(2x + -1) = 2(x + 7.5) Reorder the terms: 6 + 2x + 3(-1 + 2x) = 2(x + 7.5) 6 + 2x + (-1 * 3 + 2x * 3) = 2(x + 7.5) 6 + 2x + (-3 + 6x) = 2(x + 7.5) Reorder the terms: 6 + -3 + 2x + 6x = 2(x + 7.5) Combine like terms: 6 + -3 = 3 3 + 2x + 6x = 2(x + 7.5) Combine like terms: 2x + 6x = 8x 3 + 8x = 2(x + 7.5) Reorder the terms: 3 + 8x = 2(7.5 + x) 3 + 8x = (7.5 * 2 + x * 2) 3 + 8x = (15 + 2x) Solving 3 + 8x = 15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3 + 8x + -2x = 15 + 2x + -2x Combine like terms: 8x + -2x = 6x 3 + 6x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 6x = 15 + 0 3 + 6x = 15 Add '-3' to each side of the equation. 3 + -3 + 6x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = 15 + -3 6x = 15 + -3 Combine like terms: 15 + -3 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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