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Simplifying 5(x + 1) + -2(1 + -1x) = 3(3x + 1) Reorder the terms: 5(1 + x) + -2(1 + -1x) = 3(3x + 1) (1 * 5 + x * 5) + -2(1 + -1x) = 3(3x + 1) (5 + 5x) + -2(1 + -1x) = 3(3x + 1) 5 + 5x + (1 * -2 + -1x * -2) = 3(3x + 1) 5 + 5x + (-2 + 2x) = 3(3x + 1) Reorder the terms: 5 + -2 + 5x + 2x = 3(3x + 1) Combine like terms: 5 + -2 = 3 3 + 5x + 2x = 3(3x + 1) Combine like terms: 5x + 2x = 7x 3 + 7x = 3(3x + 1) Reorder the terms: 3 + 7x = 3(1 + 3x) 3 + 7x = (1 * 3 + 3x * 3) 3 + 7x = (3 + 9x) Add '-3' to each side of the equation. 3 + -3 + 7x = 3 + -3 + 9x Combine like terms: 3 + -3 = 0 0 + 7x = 3 + -3 + 9x 7x = 3 + -3 + 9x Combine like terms: 3 + -3 = 0 7x = 0 + 9x 7x = 9x Solving 7x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 7x + -9x = 9x + -9x Combine like terms: 7x + -9x = -2x -2x = 9x + -9x Combine like terms: 9x + -9x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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