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Simplifying 5x + 21 + -4x = 8 + 4x + -5 Reorder the terms: 21 + 5x + -4x = 8 + 4x + -5 Combine like terms: 5x + -4x = 1x 21 + 1x = 8 + 4x + -5 Reorder the terms: 21 + 1x = 8 + -5 + 4x Combine like terms: 8 + -5 = 3 21 + 1x = 3 + 4x Solving 21 + 1x = 3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 21 + 1x + -4x = 3 + 4x + -4x Combine like terms: 1x + -4x = -3x 21 + -3x = 3 + 4x + -4x Combine like terms: 4x + -4x = 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 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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