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Simplifying 6(x + 3) = 3(8 + 4x) + -6 Reorder the terms: 6(3 + x) = 3(8 + 4x) + -6 (3 * 6 + x * 6) = 3(8 + 4x) + -6 (18 + 6x) = 3(8 + 4x) + -6 18 + 6x = (8 * 3 + 4x * 3) + -6 18 + 6x = (24 + 12x) + -6 Reorder the terms: 18 + 6x = 24 + -6 + 12x Combine like terms: 24 + -6 = 18 18 + 6x = 18 + 12x Add '-18' to each side of the equation. 18 + -18 + 6x = 18 + -18 + 12x Combine like terms: 18 + -18 = 0 0 + 6x = 18 + -18 + 12x 6x = 18 + -18 + 12x Combine like terms: 18 + -18 = 0 6x = 0 + 12x 6x = 12x Solving 6x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 6x + -12x = 12x + -12x Combine like terms: 6x + -12x = -6x -6x = 12x + -12x Combine like terms: 12x + -12x = 0 -6x = 0 Divide each side by '-6'. x = 0 Simplifying x = 0
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