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