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Simplifying 10(3x + 1) = 27x + 28 Reorder the terms: 10(1 + 3x) = 27x + 28 (1 * 10 + 3x * 10) = 27x + 28 (10 + 30x) = 27x + 28 Reorder the terms: 10 + 30x = 28 + 27x Solving 10 + 30x = 28 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 10 + 30x + -27x = 28 + 27x + -27x Combine like terms: 30x + -27x = 3x 10 + 3x = 28 + 27x + -27x Combine like terms: 27x + -27x = 0 10 + 3x = 28 + 0 10 + 3x = 28 Add '-10' to each side of the equation. 10 + -10 + 3x = 28 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 28 + -10 3x = 28 + -10 Combine like terms: 28 + -10 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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