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Simplifying 17 + -2x + -21 = 3x + -1x + -12 Reorder the terms: 17 + -21 + -2x = 3x + -1x + -12 Combine like terms: 17 + -21 = -4 -4 + -2x = 3x + -1x + -12 Reorder the terms: -4 + -2x = -12 + 3x + -1x Combine like terms: 3x + -1x = 2x -4 + -2x = -12 + 2x Solving -4 + -2x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -4 + -2x + -2x = -12 + 2x + -2x Combine like terms: -2x + -2x = -4x -4 + -4x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + -4x = -12 + 0 -4 + -4x = -12 Add '4' to each side of the equation. -4 + 4 + -4x = -12 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = -12 + 4 -4x = -12 + 4 Combine like terms: -12 + 4 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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