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Simplifying 2(5 + -3x) + -3(7 + -1x) = 0 (5 * 2 + -3x * 2) + -3(7 + -1x) = 0 (10 + -6x) + -3(7 + -1x) = 0 10 + -6x + (7 * -3 + -1x * -3) = 0 10 + -6x + (-21 + 3x) = 0 Reorder the terms: 10 + -21 + -6x + 3x = 0 Combine like terms: 10 + -21 = -11 -11 + -6x + 3x = 0 Combine like terms: -6x + 3x = -3x -11 + -3x = 0 Solving -11 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -3x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -3x = 0 + 11 -3x = 0 + 11 Combine like terms: 0 + 11 = 11 -3x = 11 Divide each side by '-3'. x = -3.666666667 Simplifying x = -3.666666667
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