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Simplifying 2x + 12 + -1(3 + -5x) = 15x + -7 2x + 12 + (3 * -1 + -5x * -1) = 15x + -7 2x + 12 + (-3 + 5x) = 15x + -7 Reorder the terms: 12 + -3 + 2x + 5x = 15x + -7 Combine like terms: 12 + -3 = 9 9 + 2x + 5x = 15x + -7 Combine like terms: 2x + 5x = 7x 9 + 7x = 15x + -7 Reorder the terms: 9 + 7x = -7 + 15x Solving 9 + 7x = -7 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 9 + 7x + -15x = -7 + 15x + -15x Combine like terms: 7x + -15x = -8x 9 + -8x = -7 + 15x + -15x Combine like terms: 15x + -15x = 0 9 + -8x = -7 + 0 9 + -8x = -7 Add '-9' to each side of the equation. 9 + -9 + -8x = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = -7 + -9 -8x = -7 + -9 Combine like terms: -7 + -9 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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