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Simplifying 10x + -1(5x + 6) + 12 = 3x Reorder the terms: 10x + -1(6 + 5x) + 12 = 3x 10x + (6 * -1 + 5x * -1) + 12 = 3x 10x + (-6 + -5x) + 12 = 3x Reorder the terms: -6 + 12 + 10x + -5x = 3x Combine like terms: -6 + 12 = 6 6 + 10x + -5x = 3x Combine like terms: 10x + -5x = 5x 6 + 5x = 3x Solving 6 + 5x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + 5x + -3x = 3x + -3x Combine like terms: 5x + -3x = 2x 6 + 2x = 3x + -3x Combine like terms: 3x + -3x = 0 6 + 2x = 0 Add '-6' to each side of the equation. 6 + -6 + 2x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 0 + -6 2x = 0 + -6 Combine like terms: 0 + -6 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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