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Simplifying 4x + 5(x + 6) = 2(x + 36) Reorder the terms: 4x + 5(6 + x) = 2(x + 36) 4x + (6 * 5 + x * 5) = 2(x + 36) 4x + (30 + 5x) = 2(x + 36) Reorder the terms: 30 + 4x + 5x = 2(x + 36) Combine like terms: 4x + 5x = 9x 30 + 9x = 2(x + 36) Reorder the terms: 30 + 9x = 2(36 + x) 30 + 9x = (36 * 2 + x * 2) 30 + 9x = (72 + 2x) Solving 30 + 9x = 72 + 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 + 9x + -2x = 72 + 2x + -2x Combine like terms: 9x + -2x = 7x 30 + 7x = 72 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + 7x = 72 + 0 30 + 7x = 72 Add '-30' to each side of the equation. 30 + -30 + 7x = 72 + -30 Combine like terms: 30 + -30 = 0 0 + 7x = 72 + -30 7x = 72 + -30 Combine like terms: 72 + -30 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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