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Simplifying 2(x + 4) + 12x = -4x + 14 Reorder the terms: 2(4 + x) + 12x = -4x + 14 (4 * 2 + x * 2) + 12x = -4x + 14 (8 + 2x) + 12x = -4x + 14 Combine like terms: 2x + 12x = 14x 8 + 14x = -4x + 14 Reorder the terms: 8 + 14x = 14 + -4x Solving 8 + 14x = 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 + 14x + 4x = 14 + -4x + 4x Combine like terms: 14x + 4x = 18x 8 + 18x = 14 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 18x = 14 + 0 8 + 18x = 14 Add '-8' to each side of the equation. 8 + -8 + 18x = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 18x = 14 + -8 18x = 14 + -8 Combine like terms: 14 + -8 = 6 18x = 6 Divide each side by '18'. x = 0.3333333333 Simplifying x = 0.3333333333
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