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Simplifying 4x + -21 = 2x + 11 + -6x + -3 Reorder the terms: -21 + 4x = 2x + 11 + -6x + -3 Reorder the terms: -21 + 4x = 11 + -3 + 2x + -6x Combine like terms: 11 + -3 = 8 -21 + 4x = 8 + 2x + -6x Combine like terms: 2x + -6x = -4x -21 + 4x = 8 + -4x Solving -21 + 4x = 8 + -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 + 4x + 4x = 8 + -4x + 4x Combine like terms: 4x + 4x = 8x -21 + 8x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 -21 + 8x = 8 + 0 -21 + 8x = 8 Add '21' to each side of the equation. -21 + 21 + 8x = 8 + 21 Combine like terms: -21 + 21 = 0 0 + 8x = 8 + 21 8x = 8 + 21 Combine like terms: 8 + 21 = 29 8x = 29 Divide each side by '8'. x = 3.625 Simplifying x = 3.625
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