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Simplifying 4(2x + 7) = 3x + 38 Reorder the terms: 4(7 + 2x) = 3x + 38 (7 * 4 + 2x * 4) = 3x + 38 (28 + 8x) = 3x + 38 Reorder the terms: 28 + 8x = 38 + 3x Solving 28 + 8x = 38 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 28 + 8x + -3x = 38 + 3x + -3x Combine like terms: 8x + -3x = 5x 28 + 5x = 38 + 3x + -3x Combine like terms: 3x + -3x = 0 28 + 5x = 38 + 0 28 + 5x = 38 Add '-28' to each side of the equation. 28 + -28 + 5x = 38 + -28 Combine like terms: 28 + -28 = 0 0 + 5x = 38 + -28 5x = 38 + -28 Combine like terms: 38 + -28 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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