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Simplifying 3(2x + -4) + 2x = -4 + 9x + 12 Reorder the terms: 3(-4 + 2x) + 2x = -4 + 9x + 12 (-4 * 3 + 2x * 3) + 2x = -4 + 9x + 12 (-12 + 6x) + 2x = -4 + 9x + 12 Combine like terms: 6x + 2x = 8x -12 + 8x = -4 + 9x + 12 Reorder the terms: -12 + 8x = -4 + 12 + 9x Combine like terms: -4 + 12 = 8 -12 + 8x = 8 + 9x Solving -12 + 8x = 8 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -12 + 8x + -9x = 8 + 9x + -9x Combine like terms: 8x + -9x = -1x -12 + -1x = 8 + 9x + -9x Combine like terms: 9x + -9x = 0 -12 + -1x = 8 + 0 -12 + -1x = 8 Add '12' to each side of the equation. -12 + 12 + -1x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 8 + 12 -1x = 8 + 12 Combine like terms: 8 + 12 = 20 -1x = 20 Divide each side by '-1'. x = -20 Simplifying x = -20
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