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Simplifying 3(2x + 8) + -8x = 7x + 2 Reorder the terms: 3(8 + 2x) + -8x = 7x + 2 (8 * 3 + 2x * 3) + -8x = 7x + 2 (24 + 6x) + -8x = 7x + 2 Combine like terms: 6x + -8x = -2x 24 + -2x = 7x + 2 Reorder the terms: 24 + -2x = 2 + 7x Solving 24 + -2x = 2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 24 + -2x + -7x = 2 + 7x + -7x Combine like terms: -2x + -7x = -9x 24 + -9x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 24 + -9x = 2 + 0 24 + -9x = 2 Add '-24' to each side of the equation. 24 + -24 + -9x = 2 + -24 Combine like terms: 24 + -24 = 0 0 + -9x = 2 + -24 -9x = 2 + -24 Combine like terms: 2 + -24 = -22 -9x = -22 Divide each side by '-9'. x = 2.444444444 Simplifying x = 2.444444444
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