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Simplifying 5(x + 3) + 2(x + 1) = 5 + -4x Reorder the terms: 5(3 + x) + 2(x + 1) = 5 + -4x (3 * 5 + x * 5) + 2(x + 1) = 5 + -4x (15 + 5x) + 2(x + 1) = 5 + -4x Reorder the terms: 15 + 5x + 2(1 + x) = 5 + -4x 15 + 5x + (1 * 2 + x * 2) = 5 + -4x 15 + 5x + (2 + 2x) = 5 + -4x Reorder the terms: 15 + 2 + 5x + 2x = 5 + -4x Combine like terms: 15 + 2 = 17 17 + 5x + 2x = 5 + -4x Combine like terms: 5x + 2x = 7x 17 + 7x = 5 + -4x Solving 17 + 7x = 5 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 17 + 7x + 4x = 5 + -4x + 4x Combine like terms: 7x + 4x = 11x 17 + 11x = 5 + -4x + 4x Combine like terms: -4x + 4x = 0 17 + 11x = 5 + 0 17 + 11x = 5 Add '-17' to each side of the equation. 17 + -17 + 11x = 5 + -17 Combine like terms: 17 + -17 = 0 0 + 11x = 5 + -17 11x = 5 + -17 Combine like terms: 5 + -17 = -12 11x = -12 Divide each side by '11'. x = -1.090909091 Simplifying x = -1.090909091
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