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Simplifying -15 + 2x = -45 + 3x Solving -15 + 2x = -45 + 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. -15 + 2x + -3x = -45 + 3x + -3x Combine like terms: 2x + -3x = -1x -15 + -1x = -45 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + -1x = -45 + 0 -15 + -1x = -45 Add '15' to each side of the equation. -15 + 15 + -1x = -45 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = -45 + 15 -1x = -45 + 15 Combine like terms: -45 + 15 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30
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