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Simplifying 6x + -7(1 + -1x) + -1(10x + 4) = 0 6x + (1 * -7 + -1x * -7) + -1(10x + 4) = 0 6x + (-7 + 7x) + -1(10x + 4) = 0 Reorder the terms: 6x + -7 + 7x + -1(4 + 10x) = 0 6x + -7 + 7x + (4 * -1 + 10x * -1) = 0 6x + -7 + 7x + (-4 + -10x) = 0 Reorder the terms: -7 + -4 + 6x + 7x + -10x = 0 Combine like terms: -7 + -4 = -11 -11 + 6x + 7x + -10x = 0 Combine like terms: 6x + 7x = 13x -11 + 13x + -10x = 0 Combine like terms: 13x + -10x = 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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