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Simplifying 3(2x) + -14x + 32 = 12x + -414(2) Remove parenthesis around (2x) 3 * 2x + -14x + 32 = 12x + -414(2) Multiply 3 * 2 6x + -14x + 32 = 12x + -414(2) Reorder the terms: 32 + 6x + -14x = 12x + -414(2) Combine like terms: 6x + -14x = -8x 32 + -8x = 12x + -414(2) Multiply -414 * 2 32 + -8x = 12x + -828 Reorder the terms: 32 + -8x = -828 + 12x Solving 32 + -8x = -828 + 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. 32 + -8x + -12x = -828 + 12x + -12x Combine like terms: -8x + -12x = -20x 32 + -20x = -828 + 12x + -12x Combine like terms: 12x + -12x = 0 32 + -20x = -828 + 0 32 + -20x = -828 Add '-32' to each side of the equation. 32 + -32 + -20x = -828 + -32 Combine like terms: 32 + -32 = 0 0 + -20x = -828 + -32 -20x = -828 + -32 Combine like terms: -828 + -32 = -860 -20x = -860 Divide each side by '-20'. x = 43 Simplifying x = 43
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