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Simplifying 2 + 2(x + 4) = 4(2x + 14) Reorder the terms: 2 + 2(4 + x) = 4(2x + 14) 2 + (4 * 2 + x * 2) = 4(2x + 14) 2 + (8 + 2x) = 4(2x + 14) Combine like terms: 2 + 8 = 10 10 + 2x = 4(2x + 14) Reorder the terms: 10 + 2x = 4(14 + 2x) 10 + 2x = (14 * 4 + 2x * 4) 10 + 2x = (56 + 8x) Solving 10 + 2x = 56 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10 + 2x + -8x = 56 + 8x + -8x Combine like terms: 2x + -8x = -6x 10 + -6x = 56 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -6x = 56 + 0 10 + -6x = 56 Add '-10' to each side of the equation. 10 + -10 + -6x = 56 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = 56 + -10 -6x = 56 + -10 Combine like terms: 56 + -10 = 46 -6x = 46 Divide each side by '-6'. x = -7.666666667 Simplifying x = -7.666666667
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