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Simplifying 3x + -6 + 2 = 4x + 8 + -21 Reorder the terms: -6 + 2 + 3x = 4x + 8 + -21 Combine like terms: -6 + 2 = -4 -4 + 3x = 4x + 8 + -21 Reorder the terms: -4 + 3x = 8 + -21 + 4x Combine like terms: 8 + -21 = -13 -4 + 3x = -13 + 4x Solving -4 + 3x = -13 + 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. -4 + 3x + -4x = -13 + 4x + -4x Combine like terms: 3x + -4x = -1x -4 + -1x = -13 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -1x = -13 + 0 -4 + -1x = -13 Add '4' to each side of the equation. -4 + 4 + -1x = -13 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -13 + 4 -1x = -13 + 4 Combine like terms: -13 + 4 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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