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Simplifying 4x + 21 = 3 + 7x + -6 Reorder the terms: 21 + 4x = 3 + 7x + -6 Reorder the terms: 21 + 4x = 3 + -6 + 7x Combine like terms: 3 + -6 = -3 21 + 4x = -3 + 7x Solving 21 + 4x = -3 + 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 = -3 + 7x + -7x Combine like terms: 4x + -7x = -3x 21 + -3x = -3 + 7x + -7x Combine like terms: 7x + -7x = 0 21 + -3x = -3 + 0 21 + -3x = -3 Add '-21' to each side of the equation. 21 + -21 + -3x = -3 + -21 Combine like terms: 21 + -21 = 0 0 + -3x = -3 + -21 -3x = -3 + -21 Combine like terms: -3 + -21 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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