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Simplifying 4x + 21 = 7x + 4 Reorder the terms: 21 + 4x = 7x + 4 Reorder the terms: 21 + 4x = 4 + 7x Solving 21 + 4x = 4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 21 + 4x + -7x = 4 + 7x + -7x Combine like terms: 4x + -7x = -3x 21 + -3x = 4 + 7x + -7x Combine like terms: 7x + -7x = 0 21 + -3x = 4 + 0 21 + -3x = 4 Add '-21' to each side of the equation. 21 + -21 + -3x = 4 + -21 Combine like terms: 21 + -21 = 0 0 + -3x = 4 + -21 -3x = 4 + -21 Combine like terms: 4 + -21 = -17 -3x = -17 Divide each side by '-3'. x = 5.666666667 Simplifying x = 5.666666667
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