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Simplifying 5x + -12 = 6x + -21 Reorder the terms: -12 + 5x = 6x + -21 Reorder the terms: -12 + 5x = -21 + 6x Solving -12 + 5x = -21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + 5x + -6x = -21 + 6x + -6x Combine like terms: 5x + -6x = -1x -12 + -1x = -21 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -1x = -21 + 0 -12 + -1x = -21 Add '12' to each side of the equation. -12 + 12 + -1x = -21 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = -21 + 12 -1x = -21 + 12 Combine like terms: -21 + 12 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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