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Simplifying 7(3 + -1x) + -4(2 + -3x) = 30 (3 * 7 + -1x * 7) + -4(2 + -3x) = 30 (21 + -7x) + -4(2 + -3x) = 30 21 + -7x + (2 * -4 + -3x * -4) = 30 21 + -7x + (-8 + 12x) = 30 Reorder the terms: 21 + -8 + -7x + 12x = 30 Combine like terms: 21 + -8 = 13 13 + -7x + 12x = 30 Combine like terms: -7x + 12x = 5x 13 + 5x = 30 Solving 13 + 5x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 5x = 30 + -13 Combine like terms: 13 + -13 = 0 0 + 5x = 30 + -13 5x = 30 + -13 Combine like terms: 30 + -13 = 17 5x = 17 Divide each side by '5'. x = 3.4 Simplifying x = 3.4
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