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Simplifying 2(3 + -1x) + 7(2 + -1x) = 15 + -1x (3 * 2 + -1x * 2) + 7(2 + -1x) = 15 + -1x (6 + -2x) + 7(2 + -1x) = 15 + -1x 6 + -2x + (2 * 7 + -1x * 7) = 15 + -1x 6 + -2x + (14 + -7x) = 15 + -1x Reorder the terms: 6 + 14 + -2x + -7x = 15 + -1x Combine like terms: 6 + 14 = 20 20 + -2x + -7x = 15 + -1x Combine like terms: -2x + -7x = -9x 20 + -9x = 15 + -1x Solving 20 + -9x = 15 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 20 + -9x + x = 15 + -1x + x Combine like terms: -9x + x = -8x 20 + -8x = 15 + -1x + x Combine like terms: -1x + x = 0 20 + -8x = 15 + 0 20 + -8x = 15 Add '-20' to each side of the equation. 20 + -20 + -8x = 15 + -20 Combine like terms: 20 + -20 = 0 0 + -8x = 15 + -20 -8x = 15 + -20 Combine like terms: 15 + -20 = -5 -8x = -5 Divide each side by '-8'. x = 0.625 Simplifying x = 0.625
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