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Simplifying 4x + 9 = 3(x + 10) + 8 Reorder the terms: 9 + 4x = 3(x + 10) + 8 Reorder the terms: 9 + 4x = 3(10 + x) + 8 9 + 4x = (10 * 3 + x * 3) + 8 9 + 4x = (30 + 3x) + 8 Reorder the terms: 9 + 4x = 30 + 8 + 3x Combine like terms: 30 + 8 = 38 9 + 4x = 38 + 3x Solving 9 + 4x = 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. 9 + 4x + -3x = 38 + 3x + -3x Combine like terms: 4x + -3x = 1x 9 + 1x = 38 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + 1x = 38 + 0 9 + 1x = 38 Add '-9' to each side of the equation. 9 + -9 + 1x = 38 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 38 + -9 1x = 38 + -9 Combine like terms: 38 + -9 = 29 1x = 29 Divide each side by '1'. x = 29 Simplifying x = 29
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