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Simplifying 2(3x + -2) + -1(2x + -3) = 15 Reorder the terms: 2(-2 + 3x) + -1(2x + -3) = 15 (-2 * 2 + 3x * 2) + -1(2x + -3) = 15 (-4 + 6x) + -1(2x + -3) = 15 Reorder the terms: -4 + 6x + -1(-3 + 2x) = 15 -4 + 6x + (-3 * -1 + 2x * -1) = 15 -4 + 6x + (3 + -2x) = 15 Reorder the terms: -4 + 3 + 6x + -2x = 15 Combine like terms: -4 + 3 = -1 -1 + 6x + -2x = 15 Combine like terms: 6x + -2x = 4x -1 + 4x = 15 Solving -1 + 4x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 4x = 15 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 15 + 1 4x = 15 + 1 Combine like terms: 15 + 1 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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