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Simplifying 2(5 + -1x) = 3(8 + 2x) + -3 (5 * 2 + -1x * 2) = 3(8 + 2x) + -3 (10 + -2x) = 3(8 + 2x) + -3 10 + -2x = (8 * 3 + 2x * 3) + -3 10 + -2x = (24 + 6x) + -3 Reorder the terms: 10 + -2x = 24 + -3 + 6x Combine like terms: 24 + -3 = 21 10 + -2x = 21 + 6x Solving 10 + -2x = 21 + 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. 10 + -2x + -6x = 21 + 6x + -6x Combine like terms: -2x + -6x = -8x 10 + -8x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -8x = 21 + 0 10 + -8x = 21 Add '-10' to each side of the equation. 10 + -10 + -8x = 21 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = 21 + -10 -8x = 21 + -10 Combine like terms: 21 + -10 = 11 -8x = 11 Divide each side by '-8'. x = -1.375 Simplifying x = -1.375
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