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Simplifying -5x + 12 = 4x + -6 Reorder the terms: 12 + -5x = 4x + -6 Reorder the terms: 12 + -5x = -6 + 4x Solving 12 + -5x = -6 + 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. 12 + -5x + -4x = -6 + 4x + -4x Combine like terms: -5x + -4x = -9x 12 + -9x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -9x = -6 + 0 12 + -9x = -6 Add '-12' to each side of the equation. 12 + -12 + -9x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = -6 + -12 -9x = -6 + -12 Combine like terms: -6 + -12 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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