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Simplifying 3(3x + 1) + -1(x + -1) = (6x + 10) Reorder the terms: 3(1 + 3x) + -1(x + -1) = (6x + 10) (1 * 3 + 3x * 3) + -1(x + -1) = (6x + 10) (3 + 9x) + -1(x + -1) = (6x + 10) Reorder the terms: 3 + 9x + -1(-1 + x) = (6x + 10) 3 + 9x + (-1 * -1 + x * -1) = (6x + 10) 3 + 9x + (1 + -1x) = (6x + 10) Reorder the terms: 3 + 1 + 9x + -1x = (6x + 10) Combine like terms: 3 + 1 = 4 4 + 9x + -1x = (6x + 10) Combine like terms: 9x + -1x = 8x 4 + 8x = (6x + 10) Reorder the terms: 4 + 8x = (10 + 6x) Remove parenthesis around (10 + 6x) 4 + 8x = 10 + 6x Solving 4 + 8x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 8x + -6x = 10 + 6x + -6x Combine like terms: 8x + -6x = 2x 4 + 2x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + 2x = 10 + 0 4 + 2x = 10 Add '-4' to each side of the equation. 4 + -4 + 2x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 10 + -4 2x = 10 + -4 Combine like terms: 10 + -4 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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