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Simplifying -5x + 15 = 12x + -9 + 7x Reorder the terms: 15 + -5x = 12x + -9 + 7x Reorder the terms: 15 + -5x = -9 + 12x + 7x Combine like terms: 12x + 7x = 19x 15 + -5x = -9 + 19x Solving 15 + -5x = -9 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 15 + -5x + -19x = -9 + 19x + -19x Combine like terms: -5x + -19x = -24x 15 + -24x = -9 + 19x + -19x Combine like terms: 19x + -19x = 0 15 + -24x = -9 + 0 15 + -24x = -9 Add '-15' to each side of the equation. 15 + -15 + -24x = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -24x = -9 + -15 -24x = -9 + -15 Combine like terms: -9 + -15 = -24 -24x = -24 Divide each side by '-24'. x = 1 Simplifying x = 1
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