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Simplifying 2(2x) + -14x + 33 = 12x + -414(2) Remove parenthesis around (2x) 2 * 2x + -14x + 33 = 12x + -414(2) Multiply 2 * 2 4x + -14x + 33 = 12x + -414(2) Reorder the terms: 33 + 4x + -14x = 12x + -414(2) Combine like terms: 4x + -14x = -10x 33 + -10x = 12x + -414(2) Multiply -414 * 2 33 + -10x = 12x + -828 Reorder the terms: 33 + -10x = -828 + 12x Solving 33 + -10x = -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. 33 + -10x + -12x = -828 + 12x + -12x Combine like terms: -10x + -12x = -22x 33 + -22x = -828 + 12x + -12x Combine like terms: 12x + -12x = 0 33 + -22x = -828 + 0 33 + -22x = -828 Add '-33' to each side of the equation. 33 + -33 + -22x = -828 + -33 Combine like terms: 33 + -33 = 0 0 + -22x = -828 + -33 -22x = -828 + -33 Combine like terms: -828 + -33 = -861 -22x = -861 Divide each side by '-22'. x = 39.13636364 Simplifying x = 39.13636364
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