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Simplifying (3x + 15) + -4x = 12 + (7x + 5) Reorder the terms: (15 + 3x) + -4x = 12 + (7x + 5) Remove parenthesis around (15 + 3x) 15 + 3x + -4x = 12 + (7x + 5) Combine like terms: 3x + -4x = -1x 15 + -1x = 12 + (7x + 5) Reorder the terms: 15 + -1x = 12 + (5 + 7x) Remove parenthesis around (5 + 7x) 15 + -1x = 12 + 5 + 7x Combine like terms: 12 + 5 = 17 15 + -1x = 17 + 7x Solving 15 + -1x = 17 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 15 + -1x + -7x = 17 + 7x + -7x Combine like terms: -1x + -7x = -8x 15 + -8x = 17 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + -8x = 17 + 0 15 + -8x = 17 Add '-15' to each side of the equation. 15 + -15 + -8x = 17 + -15 Combine like terms: 15 + -15 = 0 0 + -8x = 17 + -15 -8x = 17 + -15 Combine like terms: 17 + -15 = 2 -8x = 2 Divide each side by '-8'. x = -0.25 Simplifying x = -0.25
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