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Simplifying 7x + -15 = (18x + 12) + (2x + 12) Reorder the terms: -15 + 7x = (18x + 12) + (2x + 12) Reorder the terms: -15 + 7x = (12 + 18x) + (2x + 12) Remove parenthesis around (12 + 18x) -15 + 7x = 12 + 18x + (2x + 12) Reorder the terms: -15 + 7x = 12 + 18x + (12 + 2x) Remove parenthesis around (12 + 2x) -15 + 7x = 12 + 18x + 12 + 2x Reorder the terms: -15 + 7x = 12 + 12 + 18x + 2x Combine like terms: 12 + 12 = 24 -15 + 7x = 24 + 18x + 2x Combine like terms: 18x + 2x = 20x -15 + 7x = 24 + 20x Solving -15 + 7x = 24 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -15 + 7x + -20x = 24 + 20x + -20x Combine like terms: 7x + -20x = -13x -15 + -13x = 24 + 20x + -20x Combine like terms: 20x + -20x = 0 -15 + -13x = 24 + 0 -15 + -13x = 24 Add '15' to each side of the equation. -15 + 15 + -13x = 24 + 15 Combine like terms: -15 + 15 = 0 0 + -13x = 24 + 15 -13x = 24 + 15 Combine like terms: 24 + 15 = 39 -13x = 39 Divide each side by '-13'. x = -3 Simplifying x = -3
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