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Simplifying 6(2x + -1) = (3x + 5) Reorder the terms: 6(-1 + 2x) = (3x + 5) (-1 * 6 + 2x * 6) = (3x + 5) (-6 + 12x) = (3x + 5) Reorder the terms: -6 + 12x = (5 + 3x) Remove parenthesis around (5 + 3x) -6 + 12x = 5 + 3x Solving -6 + 12x = 5 + 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. -6 + 12x + -3x = 5 + 3x + -3x Combine like terms: 12x + -3x = 9x -6 + 9x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 9x = 5 + 0 -6 + 9x = 5 Add '6' to each side of the equation. -6 + 6 + 9x = 5 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = 5 + 6 9x = 5 + 6 Combine like terms: 5 + 6 = 11 9x = 11 Divide each side by '9'. x = 1.222222222 Simplifying x = 1.222222222
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