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Simplifying 4x + -12 + 3x = 3(6 + -1x) Reorder the terms: -12 + 4x + 3x = 3(6 + -1x) Combine like terms: 4x + 3x = 7x -12 + 7x = 3(6 + -1x) -12 + 7x = (6 * 3 + -1x * 3) -12 + 7x = (18 + -3x) Solving -12 + 7x = 18 + -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 + 7x + 3x = 18 + -3x + 3x Combine like terms: 7x + 3x = 10x -12 + 10x = 18 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 10x = 18 + 0 -12 + 10x = 18 Add '12' to each side of the equation. -12 + 12 + 10x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 10x = 18 + 12 10x = 18 + 12 Combine like terms: 18 + 12 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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