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Simplifying 3(x + 4) + -2 + 5x = 6x + -14 Reorder the terms: 3(4 + x) + -2 + 5x = 6x + -14 (4 * 3 + x * 3) + -2 + 5x = 6x + -14 (12 + 3x) + -2 + 5x = 6x + -14 Reorder the terms: 12 + -2 + 3x + 5x = 6x + -14 Combine like terms: 12 + -2 = 10 10 + 3x + 5x = 6x + -14 Combine like terms: 3x + 5x = 8x 10 + 8x = 6x + -14 Reorder the terms: 10 + 8x = -14 + 6x Solving 10 + 8x = -14 + 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. 10 + 8x + -6x = -14 + 6x + -6x Combine like terms: 8x + -6x = 2x 10 + 2x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + 2x = -14 + 0 10 + 2x = -14 Add '-10' to each side of the equation. 10 + -10 + 2x = -14 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = -14 + -10 2x = -14 + -10 Combine like terms: -14 + -10 = -24 2x = -24 Divide each side by '2'. x = -12 Simplifying x = -12
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