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Simplifying 3(2x + 4) = 9 + 3(x + -5) Reorder the terms: 3(4 + 2x) = 9 + 3(x + -5) (4 * 3 + 2x * 3) = 9 + 3(x + -5) (12 + 6x) = 9 + 3(x + -5) Reorder the terms: 12 + 6x = 9 + 3(-5 + x) 12 + 6x = 9 + (-5 * 3 + x * 3) 12 + 6x = 9 + (-15 + 3x) Combine like terms: 9 + -15 = -6 12 + 6x = -6 + 3x Solving 12 + 6x = -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. 12 + 6x + -3x = -6 + 3x + -3x Combine like terms: 6x + -3x = 3x 12 + 3x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 3x = -6 + 0 12 + 3x = -6 Add '-12' to each side of the equation. 12 + -12 + 3x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = -6 + -12 3x = -6 + -12 Combine like terms: -6 + -12 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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