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Simplifying x + 8 = 2(2x + 7) Reorder the terms: 8 + x = 2(2x + 7) Reorder the terms: 8 + x = 2(7 + 2x) 8 + x = (7 * 2 + 2x * 2) 8 + x = (14 + 4x) Solving 8 + x = 14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + x + -4x = 14 + 4x + -4x Combine like terms: x + -4x = -3x 8 + -3x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -3x = 14 + 0 8 + -3x = 14 Add '-8' to each side of the equation. 8 + -8 + -3x = 14 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 14 + -8 -3x = 14 + -8 Combine like terms: 14 + -8 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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