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Simplifying 2(3 + -4x) + 2x = 114 (3 * 2 + -4x * 2) + 2x = 114 (6 + -8x) + 2x = 114 Combine like terms: -8x + 2x = -6x 6 + -6x = 114 Solving 6 + -6x = 114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -6x = 114 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 114 + -6 -6x = 114 + -6 Combine like terms: 114 + -6 = 108 -6x = 108 Divide each side by '-6'. x = -18 Simplifying x = -18
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