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Simplifying 114 = 6x + 3(2x + -2) Reorder the terms: 114 = 6x + 3(-2 + 2x) 114 = 6x + (-2 * 3 + 2x * 3) 114 = 6x + (-6 + 6x) Reorder the terms: 114 = -6 + 6x + 6x Combine like terms: 6x + 6x = 12x 114 = -6 + 12x Solving 114 = -6 + 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. 114 + -12x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 114 + -12x = -6 + 0 114 + -12x = -6 Add '-114' to each side of the equation. 114 + -114 + -12x = -6 + -114 Combine like terms: 114 + -114 = 0 0 + -12x = -6 + -114 -12x = -6 + -114 Combine like terms: -6 + -114 = -120 -12x = -120 Divide each side by '-12'. x = 10 Simplifying x = 10
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