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Simplifying 3(x + -4) + 6x = 9 + 12x Reorder the terms: 3(-4 + x) + 6x = 9 + 12x (-4 * 3 + x * 3) + 6x = 9 + 12x (-12 + 3x) + 6x = 9 + 12x Combine like terms: 3x + 6x = 9x -12 + 9x = 9 + 12x Solving -12 + 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. -12 + 9x + -12x = 9 + 12x + -12x Combine like terms: 9x + -12x = -3x -12 + -3x = 9 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + -3x = 9 + 0 -12 + -3x = 9 Add '12' to each side of the equation. -12 + 12 + -3x = 9 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = 9 + 12 -3x = 9 + 12 Combine like terms: 9 + 12 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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