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Simplifying 6(x + -5) = 3x + 9 Reorder the terms: 6(-5 + x) = 3x + 9 (-5 * 6 + x * 6) = 3x + 9 (-30 + 6x) = 3x + 9 Reorder the terms: -30 + 6x = 9 + 3x Solving -30 + 6x = 9 + 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 + 6x + -3x = 9 + 3x + -3x Combine like terms: 6x + -3x = 3x -30 + 3x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 -30 + 3x = 9 + 0 -30 + 3x = 9 Add '30' to each side of the equation. -30 + 30 + 3x = 9 + 30 Combine like terms: -30 + 30 = 0 0 + 3x = 9 + 30 3x = 9 + 30 Combine like terms: 9 + 30 = 39 3x = 39 Divide each side by '3'. x = 13 Simplifying x = 13
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