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Simplifying 8(x + 3) + -6x = 52 Reorder the terms: 8(3 + x) + -6x = 52 (3 * 8 + x * 8) + -6x = 52 (24 + 8x) + -6x = 52 Combine like terms: 8x + -6x = 2x 24 + 2x = 52 Solving 24 + 2x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 2x = 52 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 52 + -24 2x = 52 + -24 Combine like terms: 52 + -24 = 28 2x = 28 Divide each side by '2'. x = 14 Simplifying x = 14
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