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Simplifying 45 + x = (13 + x) + (4 + x) + (10 + x) Remove parenthesis around (13 + x) 45 + x = 13 + x + (4 + x) + (10 + x) Remove parenthesis around (4 + x) 45 + x = 13 + x + 4 + x + (10 + x) Remove parenthesis around (10 + x) 45 + x = 13 + x + 4 + x + 10 + x Reorder the terms: 45 + x = 13 + 4 + 10 + x + x + x Combine like terms: 13 + 4 = 17 45 + x = 17 + 10 + x + x + x Combine like terms: 17 + 10 = 27 45 + x = 27 + x + x + x Combine like terms: x + x = 2x 45 + x = 27 + 2x + x Combine like terms: 2x + x = 3x 45 + x = 27 + 3x Solving 45 + x = 27 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 45 + x + -3x = 27 + 3x + -3x Combine like terms: x + -3x = -2x 45 + -2x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 45 + -2x = 27 + 0 45 + -2x = 27 Add '-45' to each side of the equation. 45 + -45 + -2x = 27 + -45 Combine like terms: 45 + -45 = 0 0 + -2x = 27 + -45 -2x = 27 + -45 Combine like terms: 27 + -45 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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