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Simplifying 4(x + 1) + 3(x + 8) = 30 Reorder the terms: 4(1 + x) + 3(x + 8) = 30 (1 * 4 + x * 4) + 3(x + 8) = 30 (4 + 4x) + 3(x + 8) = 30 Reorder the terms: 4 + 4x + 3(8 + x) = 30 4 + 4x + (8 * 3 + x * 3) = 30 4 + 4x + (24 + 3x) = 30 Reorder the terms: 4 + 24 + 4x + 3x = 30 Combine like terms: 4 + 24 = 28 28 + 4x + 3x = 30 Combine like terms: 4x + 3x = 7x 28 + 7x = 30 Solving 28 + 7x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 7x = 30 + -28 Combine like terms: 28 + -28 = 0 0 + 7x = 30 + -28 7x = 30 + -28 Combine like terms: 30 + -28 = 2 7x = 2 Divide each side by '7'. x = 0.2857142857 Simplifying x = 0.2857142857
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