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Simplifying 6(x + 2) = 6(x + 4) + 2x Reorder the terms: 6(2 + x) = 6(x + 4) + 2x (2 * 6 + x * 6) = 6(x + 4) + 2x (12 + 6x) = 6(x + 4) + 2x Reorder the terms: 12 + 6x = 6(4 + x) + 2x 12 + 6x = (4 * 6 + x * 6) + 2x 12 + 6x = (24 + 6x) + 2x Combine like terms: 6x + 2x = 8x 12 + 6x = 24 + 8x Solving 12 + 6x = 24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12 + 6x + -8x = 24 + 8x + -8x Combine like terms: 6x + -8x = -2x 12 + -2x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -2x = 24 + 0 12 + -2x = 24 Add '-12' to each side of the equation. 12 + -12 + -2x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 24 + -12 -2x = 24 + -12 Combine like terms: 24 + -12 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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