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Simplifying 7(x + 2) + -8x = 15 + -1(3x + -7) Reorder the terms: 7(2 + x) + -8x = 15 + -1(3x + -7) (2 * 7 + x * 7) + -8x = 15 + -1(3x + -7) (14 + 7x) + -8x = 15 + -1(3x + -7) Combine like terms: 7x + -8x = -1x 14 + -1x = 15 + -1(3x + -7) Reorder the terms: 14 + -1x = 15 + -1(-7 + 3x) 14 + -1x = 15 + (-7 * -1 + 3x * -1) 14 + -1x = 15 + (7 + -3x) Combine like terms: 15 + 7 = 22 14 + -1x = 22 + -3x Solving 14 + -1x = 22 + -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. 14 + -1x + 3x = 22 + -3x + 3x Combine like terms: -1x + 3x = 2x 14 + 2x = 22 + -3x + 3x Combine like terms: -3x + 3x = 0 14 + 2x = 22 + 0 14 + 2x = 22 Add '-14' to each side of the equation. 14 + -14 + 2x = 22 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 22 + -14 2x = 22 + -14 Combine like terms: 22 + -14 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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