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Simplifying 3(2x + -5) + -2(2x + -3) = -15 Reorder the terms: 3(-5 + 2x) + -2(2x + -3) = -15 (-5 * 3 + 2x * 3) + -2(2x + -3) = -15 (-15 + 6x) + -2(2x + -3) = -15 Reorder the terms: -15 + 6x + -2(-3 + 2x) = -15 -15 + 6x + (-3 * -2 + 2x * -2) = -15 -15 + 6x + (6 + -4x) = -15 Reorder the terms: -15 + 6 + 6x + -4x = -15 Combine like terms: -15 + 6 = -9 -9 + 6x + -4x = -15 Combine like terms: 6x + -4x = 2x -9 + 2x = -15 Solving -9 + 2x = -15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 2x = -15 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = -15 + 9 2x = -15 + 9 Combine like terms: -15 + 9 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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