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Simplifying 4x + 21 + -3x = 7 + 5x + -6 Reorder the terms: 21 + 4x + -3x = 7 + 5x + -6 Combine like terms: 4x + -3x = 1x 21 + 1x = 7 + 5x + -6 Reorder the terms: 21 + 1x = 7 + -6 + 5x Combine like terms: 7 + -6 = 1 21 + 1x = 1 + 5x Solving 21 + 1x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 21 + 1x + -5x = 1 + 5x + -5x Combine like terms: 1x + -5x = -4x 21 + -4x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 21 + -4x = 1 + 0 21 + -4x = 1 Add '-21' to each side of the equation. 21 + -21 + -4x = 1 + -21 Combine like terms: 21 + -21 = 0 0 + -4x = 1 + -21 -4x = 1 + -21 Combine like terms: 1 + -21 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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