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Simplifying 3(3x + -2) + -4x = x + 12 + -2 Reorder the terms: 3(-2 + 3x) + -4x = x + 12 + -2 (-2 * 3 + 3x * 3) + -4x = x + 12 + -2 (-6 + 9x) + -4x = x + 12 + -2 Combine like terms: 9x + -4x = 5x -6 + 5x = x + 12 + -2 Reorder the terms: -6 + 5x = 12 + -2 + x Combine like terms: 12 + -2 = 10 -6 + 5x = 10 + x Solving -6 + 5x = 10 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + 5x + -1x = 10 + x + -1x Combine like terms: 5x + -1x = 4x -6 + 4x = 10 + x + -1x Combine like terms: x + -1x = 0 -6 + 4x = 10 + 0 -6 + 4x = 10 Add '6' to each side of the equation. -6 + 6 + 4x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 10 + 6 4x = 10 + 6 Combine like terms: 10 + 6 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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