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Simplifying 5(x + -2) + 45 = -2x Reorder the terms: 5(-2 + x) + 45 = -2x (-2 * 5 + x * 5) + 45 = -2x (-10 + 5x) + 45 = -2x Reorder the terms: -10 + 45 + 5x = -2x Combine like terms: -10 + 45 = 35 35 + 5x = -2x Solving 35 + 5x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 35 + 5x + 2x = -2x + 2x Combine like terms: 5x + 2x = 7x 35 + 7x = -2x + 2x Combine like terms: -2x + 2x = 0 35 + 7x = 0 Add '-35' to each side of the equation. 35 + -35 + 7x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 7x = 0 + -35 7x = 0 + -35 Combine like terms: 0 + -35 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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