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Simplifying x + 8 = 3(x + 1) + 7 Reorder the terms: 8 + x = 3(x + 1) + 7 Reorder the terms: 8 + x = 3(1 + x) + 7 8 + x = (1 * 3 + x * 3) + 7 8 + x = (3 + 3x) + 7 Reorder the terms: 8 + x = 3 + 7 + 3x Combine like terms: 3 + 7 = 10 8 + x = 10 + 3x Solving 8 + x = 10 + 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. 8 + x + -3x = 10 + 3x + -3x Combine like terms: x + -3x = -2x 8 + -2x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -2x = 10 + 0 8 + -2x = 10 Add '-8' to each side of the equation. 8 + -8 + -2x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 10 + -8 -2x = 10 + -8 Combine like terms: 10 + -8 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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