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Simplifying x + 45 = (2x + -2) Reorder the terms: 45 + x = (2x + -2) Reorder the terms: 45 + x = (-2 + 2x) Remove parenthesis around (-2 + 2x) 45 + x = -2 + 2x Solving 45 + x = -2 + 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. 45 + x + -2x = -2 + 2x + -2x Combine like terms: x + -2x = -1x 45 + -1x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 45 + -1x = -2 + 0 45 + -1x = -2 Add '-45' to each side of the equation. 45 + -45 + -1x = -2 + -45 Combine like terms: 45 + -45 = 0 0 + -1x = -2 + -45 -1x = -2 + -45 Combine like terms: -2 + -45 = -47 -1x = -47 Divide each side by '-1'. x = 47 Simplifying x = 47
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