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Simplifying 5(3 + -1x) + -2(4 + -3x) = 0 (3 * 5 + -1x * 5) + -2(4 + -3x) = 0 (15 + -5x) + -2(4 + -3x) = 0 15 + -5x + (4 * -2 + -3x * -2) = 0 15 + -5x + (-8 + 6x) = 0 Reorder the terms: 15 + -8 + -5x + 6x = 0 Combine like terms: 15 + -8 = 7 7 + -5x + 6x = 0 Combine like terms: -5x + 6x = 1x 7 + 1x = 0 Solving 7 + 1x = 0 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 + 1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 0 + -7 1x = 0 + -7 Combine like terms: 0 + -7 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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