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Simplifying 0 = 3(1 + -2x) + -5(3 + -1x) 0 = (1 * 3 + -2x * 3) + -5(3 + -1x) 0 = (3 + -6x) + -5(3 + -1x) 0 = 3 + -6x + (3 * -5 + -1x * -5) 0 = 3 + -6x + (-15 + 5x) Reorder the terms: 0 = 3 + -15 + -6x + 5x Combine like terms: 3 + -15 = -12 0 = -12 + -6x + 5x Combine like terms: -6x + 5x = -1x 0 = -12 + -1x Solving 0 = -12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 0 + x = -12 + -1x + x Remove the zero: x = -12 + -1x + x Combine like terms: -1x + x = 0 x = -12 + 0 x = -12 Simplifying x = -12
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