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Simplifying 7x + -4x = 4(3x + 6) + 12(1 + x) Combine like terms: 7x + -4x = 3x 3x = 4(3x + 6) + 12(1 + x) Reorder the terms: 3x = 4(6 + 3x) + 12(1 + x) 3x = (6 * 4 + 3x * 4) + 12(1 + x) 3x = (24 + 12x) + 12(1 + x) 3x = 24 + 12x + (1 * 12 + x * 12) 3x = 24 + 12x + (12 + 12x) Reorder the terms: 3x = 24 + 12 + 12x + 12x Combine like terms: 24 + 12 = 36 3x = 36 + 12x + 12x Combine like terms: 12x + 12x = 24x 3x = 36 + 24x Solving 3x = 36 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 3x + -24x = 36 + 24x + -24x Combine like terms: 3x + -24x = -21x -21x = 36 + 24x + -24x Combine like terms: 24x + -24x = 0 -21x = 36 + 0 -21x = 36 Divide each side by '-21'. x = -1.714285714 Simplifying x = -1.714285714
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