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Simplifying 45 = 5x + 2(x + -2) Reorder the terms: 45 = 5x + 2(-2 + x) 45 = 5x + (-2 * 2 + x * 2) 45 = 5x + (-4 + 2x) Reorder the terms: 45 = -4 + 5x + 2x Combine like terms: 5x + 2x = 7x 45 = -4 + 7x Solving 45 = -4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 45 + -7x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 45 + -7x = -4 + 0 45 + -7x = -4 Add '-45' to each side of the equation. 45 + -45 + -7x = -4 + -45 Combine like terms: 45 + -45 = 0 0 + -7x = -4 + -45 -7x = -4 + -45 Combine like terms: -4 + -45 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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