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Simplifying 5(x + 1) + 6(x + 2) = (x + 3) Reorder the terms: 5(1 + x) + 6(x + 2) = (x + 3) (1 * 5 + x * 5) + 6(x + 2) = (x + 3) (5 + 5x) + 6(x + 2) = (x + 3) Reorder the terms: 5 + 5x + 6(2 + x) = (x + 3) 5 + 5x + (2 * 6 + x * 6) = (x + 3) 5 + 5x + (12 + 6x) = (x + 3) Reorder the terms: 5 + 12 + 5x + 6x = (x + 3) Combine like terms: 5 + 12 = 17 17 + 5x + 6x = (x + 3) Combine like terms: 5x + 6x = 11x 17 + 11x = (x + 3) Reorder the terms: 17 + 11x = (3 + x) Remove parenthesis around (3 + x) 17 + 11x = 3 + x Solving 17 + 11x = 3 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 17 + 11x + -1x = 3 + x + -1x Combine like terms: 11x + -1x = 10x 17 + 10x = 3 + x + -1x Combine like terms: x + -1x = 0 17 + 10x = 3 + 0 17 + 10x = 3 Add '-17' to each side of the equation. 17 + -17 + 10x = 3 + -17 Combine like terms: 17 + -17 = 0 0 + 10x = 3 + -17 10x = 3 + -17 Combine like terms: 3 + -17 = -14 10x = -14 Divide each side by '10'. x = -1.4 Simplifying x = -1.4
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