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Simplifying 114 = 2(-3 + 4x) + 2(x) 114 = (-3 * 2 + 4x * 2) + 2(x) 114 = (-6 + 8x) + 2(x) Combine like terms: 8x + 2x = 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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