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Simplifying 5(2 + -1x) + -4(1 + -3x) = 6 (2 * 5 + -1x * 5) + -4(1 + -3x) = 6 (10 + -5x) + -4(1 + -3x) = 6 10 + -5x + (1 * -4 + -3x * -4) = 6 10 + -5x + (-4 + 12x) = 6 Reorder the terms: 10 + -4 + -5x + 12x = 6 Combine like terms: 10 + -4 = 6 6 + -5x + 12x = 6 Combine like terms: -5x + 12x = 7x 6 + 7x = 6 Add '-6' to each side of the equation. 6 + -6 + 7x = 6 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 6 + -6 7x = 6 + -6 Combine like terms: 6 + -6 = 0 7x = 0 Solving 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '7'. x = 0 Simplifying x = 0
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