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Simplifying 3x + 6(x + -5) = 12x + 9 Reorder the terms: 3x + 6(-5 + x) = 12x + 9 3x + (-5 * 6 + x * 6) = 12x + 9 3x + (-30 + 6x) = 12x + 9 Reorder the terms: -30 + 3x + 6x = 12x + 9 Combine like terms: 3x + 6x = 9x -30 + 9x = 12x + 9 Reorder the terms: -30 + 9x = 9 + 12x Solving -30 + 9x = 9 + 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. -30 + 9x + -12x = 9 + 12x + -12x Combine like terms: 9x + -12x = -3x -30 + -3x = 9 + 12x + -12x Combine like terms: 12x + -12x = 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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