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Simplifying 3x + 21 + -6x = 4 + -1x + 1 Reorder the terms: 21 + 3x + -6x = 4 + -1x + 1 Combine like terms: 3x + -6x = -3x 21 + -3x = 4 + -1x + 1 Reorder the terms: 21 + -3x = 4 + 1 + -1x Combine like terms: 4 + 1 = 5 21 + -3x = 5 + -1x Solving 21 + -3x = 5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 21 + -3x + x = 5 + -1x + x Combine like terms: -3x + x = -2x 21 + -2x = 5 + -1x + x Combine like terms: -1x + x = 0 21 + -2x = 5 + 0 21 + -2x = 5 Add '-21' to each side of the equation. 21 + -21 + -2x = 5 + -21 Combine like terms: 21 + -21 = 0 0 + -2x = 5 + -21 -2x = 5 + -21 Combine like terms: 5 + -21 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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