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Simplifying 6x + 2 = 3(5x + 8) Reorder the terms: 2 + 6x = 3(5x + 8) Reorder the terms: 2 + 6x = 3(8 + 5x) 2 + 6x = (8 * 3 + 5x * 3) 2 + 6x = (24 + 15x) Solving 2 + 6x = 24 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 2 + 6x + -15x = 24 + 15x + -15x Combine like terms: 6x + -15x = -9x 2 + -9x = 24 + 15x + -15x Combine like terms: 15x + -15x = 0 2 + -9x = 24 + 0 2 + -9x = 24 Add '-2' to each side of the equation. 2 + -2 + -9x = 24 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = 24 + -2 -9x = 24 + -2 Combine like terms: 24 + -2 = 22 -9x = 22 Divide each side by '-9'. x = -2.444444444 Simplifying x = -2.444444444
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