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Simplifying 6(x + 4) = 2x + 52 Reorder the terms: 6(4 + x) = 2x + 52 (4 * 6 + x * 6) = 2x + 52 (24 + 6x) = 2x + 52 Reorder the terms: 24 + 6x = 52 + 2x Solving 24 + 6x = 52 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 24 + 6x + -2x = 52 + 2x + -2x Combine like terms: 6x + -2x = 4x 24 + 4x = 52 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + 4x = 52 + 0 24 + 4x = 52 Add '-24' to each side of the equation. 24 + -24 + 4x = 52 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = 52 + -24 4x = 52 + -24 Combine like terms: 52 + -24 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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