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Simplifying 3(5x + 4) + 2 = 12x + -4 Reorder the terms: 3(4 + 5x) + 2 = 12x + -4 (4 * 3 + 5x * 3) + 2 = 12x + -4 (12 + 15x) + 2 = 12x + -4 Reorder the terms: 12 + 2 + 15x = 12x + -4 Combine like terms: 12 + 2 = 14 14 + 15x = 12x + -4 Reorder the terms: 14 + 15x = -4 + 12x Solving 14 + 15x = -4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 14 + 15x + -12x = -4 + 12x + -12x Combine like terms: 15x + -12x = 3x 14 + 3x = -4 + 12x + -12x Combine like terms: 12x + -12x = 0 14 + 3x = -4 + 0 14 + 3x = -4 Add '-14' to each side of the equation. 14 + -14 + 3x = -4 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = -4 + -14 3x = -4 + -14 Combine like terms: -4 + -14 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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