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Simplifying 15 + -1(x + 7) = 7x + -8 Reorder the terms: 15 + -1(7 + x) = 7x + -8 15 + (7 * -1 + x * -1) = 7x + -8 15 + (-7 + -1x) = 7x + -8 Combine like terms: 15 + -7 = 8 8 + -1x = 7x + -8 Reorder the terms: 8 + -1x = -8 + 7x Solving 8 + -1x = -8 + 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. 8 + -1x + -7x = -8 + 7x + -7x Combine like terms: -1x + -7x = -8x 8 + -8x = -8 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + -8x = -8 + 0 8 + -8x = -8 Add '-8' to each side of the equation. 8 + -8 + -8x = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -8x = -8 + -8 -8x = -8 + -8 Combine like terms: -8 + -8 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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