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Simplifying 12x + -2x + -3(x + 2) = 4x + 12 + -1x Reorder the terms: 12x + -2x + -3(2 + x) = 4x + 12 + -1x 12x + -2x + (2 * -3 + x * -3) = 4x + 12 + -1x 12x + -2x + (-6 + -3x) = 4x + 12 + -1x Reorder the terms: -6 + 12x + -2x + -3x = 4x + 12 + -1x Combine like terms: 12x + -2x = 10x -6 + 10x + -3x = 4x + 12 + -1x Combine like terms: 10x + -3x = 7x -6 + 7x = 4x + 12 + -1x Reorder the terms: -6 + 7x = 12 + 4x + -1x Combine like terms: 4x + -1x = 3x -6 + 7x = 12 + 3x Solving -6 + 7x = 12 + 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. -6 + 7x + -3x = 12 + 3x + -3x Combine like terms: 7x + -3x = 4x -6 + 4x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 4x = 12 + 0 -6 + 4x = 12 Add '6' to each side of the equation. -6 + 6 + 4x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 12 + 6 4x = 12 + 6 Combine like terms: 12 + 6 = 18 4x = 18 Divide each side by '4'. x = 4.5 Simplifying x = 4.5
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