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Simplifying 6x + 5(x + 6) = 2(x + 24) Reorder the terms: 6x + 5(6 + x) = 2(x + 24) 6x + (6 * 5 + x * 5) = 2(x + 24) 6x + (30 + 5x) = 2(x + 24) Reorder the terms: 30 + 6x + 5x = 2(x + 24) Combine like terms: 6x + 5x = 11x 30 + 11x = 2(x + 24) Reorder the terms: 30 + 11x = 2(24 + x) 30 + 11x = (24 * 2 + x * 2) 30 + 11x = (48 + 2x) Solving 30 + 11x = 48 + 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. 30 + 11x + -2x = 48 + 2x + -2x Combine like terms: 11x + -2x = 9x 30 + 9x = 48 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + 9x = 48 + 0 30 + 9x = 48 Add '-30' to each side of the equation. 30 + -30 + 9x = 48 + -30 Combine like terms: 30 + -30 = 0 0 + 9x = 48 + -30 9x = 48 + -30 Combine like terms: 48 + -30 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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