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