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Simplifying 45 = 2x + 1(x + 1) Reorder the terms: 45 = 2x + 1(1 + x) 45 = 2x + (1 * 1 + x * 1) 45 = 2x + (1 + 1x) Reorder the terms: 45 = 1 + 2x + 1x Combine like terms: 2x + 1x = 3x 45 = 1 + 3x Solving 45 = 1 + 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 = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 45 + -3x = 1 + 0 45 + -3x = 1 Add '-45' to each side of the equation. 45 + -45 + -3x = 1 + -45 Combine like terms: 45 + -45 = 0 0 + -3x = 1 + -45 -3x = 1 + -45 Combine like terms: 1 + -45 = -44 -3x = -44 Divide each side by '-3'. x = 14.66666667 Simplifying x = 14.66666667
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