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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 = -1x 11 + -1x + -10x = 0 Combine like terms: -1x + -10x = -11x 11 + -11x = 0 Solving 11 + -11x = 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 + -11x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -11x = 0 + -11 -11x = 0 + -11 Combine like terms: 0 + -11 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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