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Simplifying 2(x + -3) + -1(x + -2) = 15 Reorder the terms: 2(-3 + x) + -1(x + -2) = 15 (-3 * 2 + x * 2) + -1(x + -2) = 15 (-6 + 2x) + -1(x + -2) = 15 Reorder the terms: -6 + 2x + -1(-2 + x) = 15 -6 + 2x + (-2 * -1 + x * -1) = 15 -6 + 2x + (2 + -1x) = 15 Reorder the terms: -6 + 2 + 2x + -1x = 15 Combine like terms: -6 + 2 = -4 -4 + 2x + -1x = 15 Combine like terms: 2x + -1x = 1x -4 + 1x = 15 Solving -4 + 1x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 1x = 15 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 15 + 4 1x = 15 + 4 Combine like terms: 15 + 4 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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