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Simplifying x + 45 = -5(2x + -2) + 2 Reorder the terms: 45 + x = -5(2x + -2) + 2 Reorder the terms: 45 + x = -5(-2 + 2x) + 2 45 + x = (-2 * -5 + 2x * -5) + 2 45 + x = (10 + -10x) + 2 Reorder the terms: 45 + x = 10 + 2 + -10x Combine like terms: 10 + 2 = 12 45 + x = 12 + -10x Solving 45 + x = 12 + -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. 45 + x + 10x = 12 + -10x + 10x Combine like terms: x + 10x = 11x 45 + 11x = 12 + -10x + 10x Combine like terms: -10x + 10x = 0 45 + 11x = 12 + 0 45 + 11x = 12 Add '-45' to each side of the equation. 45 + -45 + 11x = 12 + -45 Combine like terms: 45 + -45 = 0 0 + 11x = 12 + -45 11x = 12 + -45 Combine like terms: 12 + -45 = -33 11x = -33 Divide each side by '11'. x = -3 Simplifying x = -3
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