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Simplifying 6(2x + -5) = 3(x + 2) Reorder the terms: 6(-5 + 2x) = 3(x + 2) (-5 * 6 + 2x * 6) = 3(x + 2) (-30 + 12x) = 3(x + 2) Reorder the terms: -30 + 12x = 3(2 + x) -30 + 12x = (2 * 3 + x * 3) -30 + 12x = (6 + 3x) Solving -30 + 12x = 6 + 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. -30 + 12x + -3x = 6 + 3x + -3x Combine like terms: 12x + -3x = 9x -30 + 9x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -30 + 9x = 6 + 0 -30 + 9x = 6 Add '30' to each side of the equation. -30 + 30 + 9x = 6 + 30 Combine like terms: -30 + 30 = 0 0 + 9x = 6 + 30 9x = 6 + 30 Combine like terms: 6 + 30 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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