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Simplifying 6 = 3(x + 8) + -5x Reorder the terms: 6 = 3(8 + x) + -5x 6 = (8 * 3 + x * 3) + -5x 6 = (24 + 3x) + -5x Combine like terms: 3x + -5x = -2x 6 = 24 + -2x Solving 6 = 24 + -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. 6 + 2x = 24 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 2x = 24 + 0 6 + 2x = 24 Add '-6' to each side of the equation. 6 + -6 + 2x = 24 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 24 + -6 2x = 24 + -6 Combine like terms: 24 + -6 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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