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Simplifying 4x + 17 = 3(x + 1) + 21 Reorder the terms: 17 + 4x = 3(x + 1) + 21 Reorder the terms: 17 + 4x = 3(1 + x) + 21 17 + 4x = (1 * 3 + x * 3) + 21 17 + 4x = (3 + 3x) + 21 Reorder the terms: 17 + 4x = 3 + 21 + 3x Combine like terms: 3 + 21 = 24 17 + 4x = 24 + 3x Solving 17 + 4x = 24 + 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. 17 + 4x + -3x = 24 + 3x + -3x Combine like terms: 4x + -3x = 1x 17 + 1x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 17 + 1x = 24 + 0 17 + 1x = 24 Add '-17' to each side of the equation. 17 + -17 + 1x = 24 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = 24 + -17 1x = 24 + -17 Combine like terms: 24 + -17 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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