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Simplifying 5(3 + -1x) + -4(2 + -3x) = 2 (3 * 5 + -1x * 5) + -4(2 + -3x) = 2 (15 + -5x) + -4(2 + -3x) = 2 15 + -5x + (2 * -4 + -3x * -4) = 2 15 + -5x + (-8 + 12x) = 2 Reorder the terms: 15 + -8 + -5x + 12x = 2 Combine like terms: 15 + -8 = 7 7 + -5x + 12x = 2 Combine like terms: -5x + 12x = 7x 7 + 7x = 2 Solving 7 + 7x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 7x = 2 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = 2 + -7 7x = 2 + -7 Combine like terms: 2 + -7 = -5 7x = -5 Divide each side by '7'. x = -0.7142857143 Simplifying x = -0.7142857143
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