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Simplifying 6 = 3x + -2(-1x + 12) Reorder the terms: 6 = 3x + -2(12 + -1x) 6 = 3x + (12 * -2 + -1x * -2) 6 = 3x + (-24 + 2x) Reorder the terms: 6 = -24 + 3x + 2x Combine like terms: 3x + 2x = 5x 6 = -24 + 5x Solving 6 = -24 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + -5x = -24 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -5x = -24 + 0 6 + -5x = -24 Add '-6' to each side of the equation. 6 + -6 + -5x = -24 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = -24 + -6 -5x = -24 + -6 Combine like terms: -24 + -6 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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