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Simplifying -46 = -5(2 + -2x) + -2(-6 + -7x) -46 = (2 * -5 + -2x * -5) + -2(-6 + -7x) -46 = (-10 + 10x) + -2(-6 + -7x) -46 = -10 + 10x + (-6 * -2 + -7x * -2) -46 = -10 + 10x + (12 + 14x) Reorder the terms: -46 = -10 + 12 + 10x + 14x Combine like terms: -10 + 12 = 2 -46 = 2 + 10x + 14x Combine like terms: 10x + 14x = 24x -46 = 2 + 24x Solving -46 = 2 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -46 + -24x = 2 + 24x + -24x Combine like terms: 24x + -24x = 0 -46 + -24x = 2 + 0 -46 + -24x = 2 Add '46' to each side of the equation. -46 + 46 + -24x = 2 + 46 Combine like terms: -46 + 46 = 0 0 + -24x = 2 + 46 -24x = 2 + 46 Combine like terms: 2 + 46 = 48 -24x = 48 Divide each side by '-24'. x = -2 Simplifying x = -2
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