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Simplifying 118 = -4x + -2(-5x + -23) Reorder the terms: 118 = -4x + -2(-23 + -5x) 118 = -4x + (-23 * -2 + -5x * -2) 118 = -4x + (46 + 10x) Reorder the terms: 118 = 46 + -4x + 10x Combine like terms: -4x + 10x = 6x 118 = 46 + 6x Solving 118 = 46 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 118 + -6x = 46 + 6x + -6x Combine like terms: 6x + -6x = 0 118 + -6x = 46 + 0 118 + -6x = 46 Add '-118' to each side of the equation. 118 + -118 + -6x = 46 + -118 Combine like terms: 118 + -118 = 0 0 + -6x = 46 + -118 -6x = 46 + -118 Combine like terms: 46 + -118 = -72 -6x = -72 Divide each side by '-6'. x = 12 Simplifying x = 12
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