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Simplifying 3(3x + -5) = 6(2x + 1) Reorder the terms: 3(-5 + 3x) = 6(2x + 1) (-5 * 3 + 3x * 3) = 6(2x + 1) (-15 + 9x) = 6(2x + 1) Reorder the terms: -15 + 9x = 6(1 + 2x) -15 + 9x = (1 * 6 + 2x * 6) -15 + 9x = (6 + 12x) Solving -15 + 9x = 6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -15 + 9x + -12x = 6 + 12x + -12x Combine like terms: 9x + -12x = -3x -15 + -3x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -15 + -3x = 6 + 0 -15 + -3x = 6 Add '15' to each side of the equation. -15 + 15 + -3x = 6 + 15 Combine like terms: -15 + 15 = 0 0 + -3x = 6 + 15 -3x = 6 + 15 Combine like terms: 6 + 15 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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