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Simplifying 2x + (-12) = 3x + (-15) 2x + -12 = 3x + (-15) Reorder the terms: -12 + 2x = 3x + (-15) -12 + 2x = 3x + -15 Reorder the terms: -12 + 2x = -15 + 3x Solving -12 + 2x = -15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -12 + 2x + -3x = -15 + 3x + -3x Combine like terms: 2x + -3x = -1x -12 + -1x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + -1x = -15 + 0 -12 + -1x = -15 Add '12' to each side of the equation. -12 + 12 + -1x = -15 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = -15 + 12 -1x = -15 + 12 Combine like terms: -15 + 12 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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