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Simplifying 3x + 2(-2x + -3) = -15 + -2x Reorder the terms: 3x + 2(-3 + -2x) = -15 + -2x 3x + (-3 * 2 + -2x * 2) = -15 + -2x 3x + (-6 + -4x) = -15 + -2x Reorder the terms: -6 + 3x + -4x = -15 + -2x Combine like terms: 3x + -4x = -1x -6 + -1x = -15 + -2x Solving -6 + -1x = -15 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + -1x + 2x = -15 + -2x + 2x Combine like terms: -1x + 2x = 1x -6 + 1x = -15 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 1x = -15 + 0 -6 + 1x = -15 Add '6' to each side of the equation. -6 + 6 + 1x = -15 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = -15 + 6 1x = -15 + 6 Combine like terms: -15 + 6 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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