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Simplifying 2(3 + -1x) + 5(3 + -1x) = 10(2 + -1x) (3 * 2 + -1x * 2) + 5(3 + -1x) = 10(2 + -1x) (6 + -2x) + 5(3 + -1x) = 10(2 + -1x) 6 + -2x + (3 * 5 + -1x * 5) = 10(2 + -1x) 6 + -2x + (15 + -5x) = 10(2 + -1x) Reorder the terms: 6 + 15 + -2x + -5x = 10(2 + -1x) Combine like terms: 6 + 15 = 21 21 + -2x + -5x = 10(2 + -1x) Combine like terms: -2x + -5x = -7x 21 + -7x = 10(2 + -1x) 21 + -7x = (2 * 10 + -1x * 10) 21 + -7x = (20 + -10x) Solving 21 + -7x = 20 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 21 + -7x + 10x = 20 + -10x + 10x Combine like terms: -7x + 10x = 3x 21 + 3x = 20 + -10x + 10x Combine like terms: -10x + 10x = 0 21 + 3x = 20 + 0 21 + 3x = 20 Add '-21' to each side of the equation. 21 + -21 + 3x = 20 + -21 Combine like terms: 21 + -21 = 0 0 + 3x = 20 + -21 3x = 20 + -21 Combine like terms: 20 + -21 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333
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