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Simplifying x + 8 = 78 + -1(x + 8) Reorder the terms: 8 + x = 78 + -1(x + 8) Reorder the terms: 8 + x = 78 + -1(8 + x) 8 + x = 78 + (8 * -1 + x * -1) 8 + x = 78 + (-8 + -1x) Combine like terms: 78 + -8 = 70 8 + x = 70 + -1x Solving 8 + x = 70 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 8 + x + x = 70 + -1x + x Combine like terms: x + x = 2x 8 + 2x = 70 + -1x + x Combine like terms: -1x + x = 0 8 + 2x = 70 + 0 8 + 2x = 70 Add '-8' to each side of the equation. 8 + -8 + 2x = 70 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 70 + -8 2x = 70 + -8 Combine like terms: 70 + -8 = 62 2x = 62 Divide each side by '2'. x = 31 Simplifying x = 31
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