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Simplifying 45 + x = (14 + x) + (9 + x) Remove parenthesis around (14 + x) 45 + x = 14 + x + (9 + x) Remove parenthesis around (9 + x) 45 + x = 14 + x + 9 + x Reorder the terms: 45 + x = 14 + 9 + x + x Combine like terms: 14 + 9 = 23 45 + x = 23 + x + x Combine like terms: x + x = 2x 45 + x = 23 + 2x Solving 45 + x = 23 + 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 = 23 + 2x + -2x Combine like terms: x + -2x = -1x 45 + -1x = 23 + 2x + -2x Combine like terms: 2x + -2x = 0 45 + -1x = 23 + 0 45 + -1x = 23 Add '-45' to each side of the equation. 45 + -45 + -1x = 23 + -45 Combine like terms: 45 + -45 = 0 0 + -1x = 23 + -45 -1x = 23 + -45 Combine like terms: 23 + -45 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22
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