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Simplifying 6(2x + -3) = (3x + -5) Reorder the terms: 6(-3 + 2x) = (3x + -5) (-3 * 6 + 2x * 6) = (3x + -5) (-18 + 12x) = (3x + -5) Reorder the terms: -18 + 12x = (-5 + 3x) Remove parenthesis around (-5 + 3x) -18 + 12x = -5 + 3x Solving -18 + 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. -18 + 12x + -3x = -5 + 3x + -3x Combine like terms: 12x + -3x = 9x -18 + 9x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 9x = -5 + 0 -18 + 9x = -5 Add '18' to each side of the equation. -18 + 18 + 9x = -5 + 18 Combine like terms: -18 + 18 = 0 0 + 9x = -5 + 18 9x = -5 + 18 Combine like terms: -5 + 18 = 13 9x = 13 Divide each side by '9'. x = 1.444444444 Simplifying x = 1.444444444
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