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Simplifying 6(x + 3) = 2x + 6 + 8x Reorder the terms: 6(3 + x) = 2x + 6 + 8x (3 * 6 + x * 6) = 2x + 6 + 8x (18 + 6x) = 2x + 6 + 8x Reorder the terms: 18 + 6x = 6 + 2x + 8x Combine like terms: 2x + 8x = 10x 18 + 6x = 6 + 10x Solving 18 + 6x = 6 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 18 + 6x + -10x = 6 + 10x + -10x Combine like terms: 6x + -10x = -4x 18 + -4x = 6 + 10x + -10x Combine like terms: 10x + -10x = 0 18 + -4x = 6 + 0 18 + -4x = 6 Add '-18' to each side of the equation. 18 + -18 + -4x = 6 + -18 Combine like terms: 18 + -18 = 0 0 + -4x = 6 + -18 -4x = 6 + -18 Combine like terms: 6 + -18 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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