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Simplifying 6(x + 4) = (8x) + 2 Reorder the terms: 6(4 + x) = (8x) + 2 (4 * 6 + x * 6) = (8x) + 2 (24 + 6x) = (8x) + 2 Reorder the terms: 24 + 6x = 2 + (8x) Solving 24 + 6x = 2 + (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. 24 + 6x + (-8x) = 2 + (8x) + (-8x) Combine like terms: 6x + (-8x) = -2x 24 + -2x = 2 + (8x) + (-8x) Combine like terms: (8x) + (-8x) = 0 24 + -2x = 2 + 0 24 + -2x = 2 Add '-24' to each side of the equation. 24 + -24 + -2x = 2 + -24 Combine like terms: 24 + -24 = 0 0 + -2x = 2 + -24 -2x = 2 + -24 Combine like terms: 2 + -24 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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