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Simplifying 114 = 2x + 2(-6x + -3) Reorder the terms: 114 = 2x + 2(-3 + -6x) 114 = 2x + (-3 * 2 + -6x * 2) 114 = 2x + (-6 + -12x) Reorder the terms: 114 = -6 + 2x + -12x Combine like terms: 2x + -12x = -10x 114 = -6 + -10x Solving 114 = -6 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 114 + 10x = -6 + -10x + 10x Combine like terms: -10x + 10x = 0 114 + 10x = -6 + 0 114 + 10x = -6 Add '-114' to each side of the equation. 114 + -114 + 10x = -6 + -114 Combine like terms: 114 + -114 = 0 0 + 10x = -6 + -114 10x = -6 + -114 Combine like terms: -6 + -114 = -120 10x = -120 Divide each side by '10'. x = -12 Simplifying x = -12
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