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Simplifying 114 = 2x + -2(-5x + -3) Reorder the terms: 114 = 2x + -2(-3 + -5x) 114 = 2x + (-3 * -2 + -5x * -2) 114 = 2x + (6 + 10x) Reorder the terms: 114 = 6 + 2x + 10x Combine like terms: 2x + 10x = 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 = -108 -12x = -108 Divide each side by '-12'. x = 9 Simplifying x = 9
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