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Simplifying 3x + 21 = x + -4 + 3x + -7 Reorder the terms: 21 + 3x = x + -4 + 3x + -7 Reorder the terms: 21 + 3x = -4 + -7 + x + 3x Combine like terms: -4 + -7 = -11 21 + 3x = -11 + x + 3x Combine like terms: x + 3x = 4x 21 + 3x = -11 + 4x Solving 21 + 3x = -11 + 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 + 3x + -4x = -11 + 4x + -4x Combine like terms: 3x + -4x = -1x 21 + -1x = -11 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + -1x = -11 + 0 21 + -1x = -11 Add '-21' to each side of the equation. 21 + -21 + -1x = -11 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = -11 + -21 -1x = -11 + -21 Combine like terms: -11 + -21 = -32 -1x = -32 Divide each side by '-1'. x = 32 Simplifying x = 32
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