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Simplifying 45 = x + (x + -2) + (x + -4) Reorder the terms: 45 = x + (-2 + x) + (x + -4) Remove parenthesis around (-2 + x) 45 = x + -2 + x + (x + -4) Reorder the terms: 45 = x + -2 + x + (-4 + x) Remove parenthesis around (-4 + x) 45 = x + -2 + x + -4 + x Reorder the terms: 45 = -2 + -4 + x + x + x Combine like terms: -2 + -4 = -6 45 = -6 + x + x + x Combine like terms: x + x = 2x 45 = -6 + 2x + x Combine like terms: 2x + x = 3x 45 = -6 + 3x Solving 45 = -6 + 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 + -3x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 45 + -3x = -6 + 0 45 + -3x = -6 Add '-45' to each side of the equation. 45 + -45 + -3x = -6 + -45 Combine like terms: 45 + -45 = 0 0 + -3x = -6 + -45 -3x = -6 + -45 Combine like terms: -6 + -45 = -51 -3x = -51 Divide each side by '-3'. x = 17 Simplifying x = 17
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