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Simplifying 7(x + -1(10x + -7)) = 3 + -6x Reorder the terms: 7(x + -1(-7 + 10x)) = 3 + -6x 7(x + (-7 * -1 + 10x * -1)) = 3 + -6x 7(x + (7 + -10x)) = 3 + -6x Reorder the terms: 7(7 + x + -10x) = 3 + -6x Combine like terms: x + -10x = -9x 7(7 + -9x) = 3 + -6x (7 * 7 + -9x * 7) = 3 + -6x (49 + -63x) = 3 + -6x Solving 49 + -63x = 3 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 49 + -63x + 6x = 3 + -6x + 6x Combine like terms: -63x + 6x = -57x 49 + -57x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 49 + -57x = 3 + 0 49 + -57x = 3 Add '-49' to each side of the equation. 49 + -49 + -57x = 3 + -49 Combine like terms: 49 + -49 = 0 0 + -57x = 3 + -49 -57x = 3 + -49 Combine like terms: 3 + -49 = -46 -57x = -46 Divide each side by '-57'. x = 0.8070175439 Simplifying x = 0.8070175439
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