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Simplifying 3(4x + 2) + 4 = -2x + -18 Reorder the terms: 3(2 + 4x) + 4 = -2x + -18 (2 * 3 + 4x * 3) + 4 = -2x + -18 (6 + 12x) + 4 = -2x + -18 Reorder the terms: 6 + 4 + 12x = -2x + -18 Combine like terms: 6 + 4 = 10 10 + 12x = -2x + -18 Reorder the terms: 10 + 12x = -18 + -2x Solving 10 + 12x = -18 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 10 + 12x + 2x = -18 + -2x + 2x Combine like terms: 12x + 2x = 14x 10 + 14x = -18 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 14x = -18 + 0 10 + 14x = -18 Add '-10' to each side of the equation. 10 + -10 + 14x = -18 + -10 Combine like terms: 10 + -10 = 0 0 + 14x = -18 + -10 14x = -18 + -10 Combine like terms: -18 + -10 = -28 14x = -28 Divide each side by '14'. x = -2 Simplifying x = -2
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