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Simplifying 6(3 + 5x) + -5(6x + -1) = 3(10 + -1x) (3 * 6 + 5x * 6) + -5(6x + -1) = 3(10 + -1x) (18 + 30x) + -5(6x + -1) = 3(10 + -1x) Reorder the terms: 18 + 30x + -5(-1 + 6x) = 3(10 + -1x) 18 + 30x + (-1 * -5 + 6x * -5) = 3(10 + -1x) 18 + 30x + (5 + -30x) = 3(10 + -1x) Reorder the terms: 18 + 5 + 30x + -30x = 3(10 + -1x) Combine like terms: 18 + 5 = 23 23 + 30x + -30x = 3(10 + -1x) Combine like terms: 30x + -30x = 0 23 + 0 = 3(10 + -1x) 23 = 3(10 + -1x) 23 = (10 * 3 + -1x * 3) 23 = (30 + -3x) Solving 23 = 30 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 23 + 3x = 30 + -3x + 3x Combine like terms: -3x + 3x = 0 23 + 3x = 30 + 0 23 + 3x = 30 Add '-23' to each side of the equation. 23 + -23 + 3x = 30 + -23 Combine like terms: 23 + -23 = 0 0 + 3x = 30 + -23 3x = 30 + -23 Combine like terms: 30 + -23 = 7 3x = 7 Divide each side by '3'. x = 2.333333333 Simplifying x = 2.333333333
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