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Simplifying 29(2x + 8) = 2(3x + 6) Reorder the terms: 29(8 + 2x) = 2(3x + 6) (8 * 29 + 2x * 29) = 2(3x + 6) (232 + 58x) = 2(3x + 6) Reorder the terms: 232 + 58x = 2(6 + 3x) 232 + 58x = (6 * 2 + 3x * 2) 232 + 58x = (12 + 6x) Solving 232 + 58x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 232 + 58x + -6x = 12 + 6x + -6x Combine like terms: 58x + -6x = 52x 232 + 52x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 232 + 52x = 12 + 0 232 + 52x = 12 Add '-232' to each side of the equation. 232 + -232 + 52x = 12 + -232 Combine like terms: 232 + -232 = 0 0 + 52x = 12 + -232 52x = 12 + -232 Combine like terms: 12 + -232 = -220 52x = -220 Divide each side by '52'. x = -4.230769231 Simplifying x = -4.230769231
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