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Simplifying 5x + -12 = 8x + -21 Reorder the terms: -12 + 5x = 8x + -21 Reorder the terms: -12 + 5x = -21 + 8x Solving -12 + 5x = -21 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -12 + 5x + -8x = -21 + 8x + -8x Combine like terms: 5x + -8x = -3x -12 + -3x = -21 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + -3x = -21 + 0 -12 + -3x = -21 Add '12' to each side of the equation. -12 + 12 + -3x = -21 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = -21 + 12 -3x = -21 + 12 Combine like terms: -21 + 12 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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