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Simplifying 3(x + 14) + 3x + -20 + 4(x + 6) + 12x = 0 Reorder the terms: 3(14 + x) + 3x + -20 + 4(x + 6) + 12x = 0 (14 * 3 + x * 3) + 3x + -20 + 4(x + 6) + 12x = 0 (42 + 3x) + 3x + -20 + 4(x + 6) + 12x = 0 Reorder the terms: 42 + 3x + 3x + -20 + 4(6 + x) + 12x = 0 42 + 3x + 3x + -20 + (6 * 4 + x * 4) + 12x = 0 42 + 3x + 3x + -20 + (24 + 4x) + 12x = 0 Reorder the terms: 42 + -20 + 24 + 3x + 3x + 4x + 12x = 0 Combine like terms: 42 + -20 = 22 22 + 24 + 3x + 3x + 4x + 12x = 0 Combine like terms: 22 + 24 = 46 46 + 3x + 3x + 4x + 12x = 0 Combine like terms: 3x + 3x = 6x 46 + 6x + 4x + 12x = 0 Combine like terms: 6x + 4x = 10x 46 + 10x + 12x = 0 Combine like terms: 10x + 12x = 22x 46 + 22x = 0 Solving 46 + 22x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 22x = 0 + -46 Combine like terms: 46 + -46 = 0 0 + 22x = 0 + -46 22x = 0 + -46 Combine like terms: 0 + -46 = -46 22x = -46 Divide each side by '22'. x = -2.090909091 Simplifying x = -2.090909091
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