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Simplifying 3 + -2x + 9 = 4x + -6 Reorder the terms: 3 + 9 + -2x = 4x + -6 Combine like terms: 3 + 9 = 12 12 + -2x = 4x + -6 Reorder the terms: 12 + -2x = -6 + 4x Solving 12 + -2x = -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 + -2x + -4x = -6 + 4x + -4x Combine like terms: -2x + -4x = -6x 12 + -6x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -6x = -6 + 0 12 + -6x = -6 Add '-12' to each side of the equation. 12 + -12 + -6x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = -6 + -12 -6x = -6 + -12 Combine like terms: -6 + -12 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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