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Simplifying 6x + 3(-3x + -5) = 12 + -6x Reorder the terms: 6x + 3(-5 + -3x) = 12 + -6x 6x + (-5 * 3 + -3x * 3) = 12 + -6x 6x + (-15 + -9x) = 12 + -6x Reorder the terms: -15 + 6x + -9x = 12 + -6x Combine like terms: 6x + -9x = -3x -15 + -3x = 12 + -6x Solving -15 + -3x = 12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -15 + -3x + 6x = 12 + -6x + 6x Combine like terms: -3x + 6x = 3x -15 + 3x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 -15 + 3x = 12 + 0 -15 + 3x = 12 Add '15' to each side of the equation. -15 + 15 + 3x = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = 12 + 15 3x = 12 + 15 Combine like terms: 12 + 15 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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