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Simplifying 10(70x + 35) + -21(35x + -70) = 35 Reorder the terms: 10(35 + 70x) + -21(35x + -70) = 35 (35 * 10 + 70x * 10) + -21(35x + -70) = 35 (350 + 700x) + -21(35x + -70) = 35 Reorder the terms: 350 + 700x + -21(-70 + 35x) = 35 350 + 700x + (-70 * -21 + 35x * -21) = 35 350 + 700x + (1470 + -735x) = 35 Reorder the terms: 350 + 1470 + 700x + -735x = 35 Combine like terms: 350 + 1470 = 1820 1820 + 700x + -735x = 35 Combine like terms: 700x + -735x = -35x 1820 + -35x = 35 Solving 1820 + -35x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1820' to each side of the equation. 1820 + -1820 + -35x = 35 + -1820 Combine like terms: 1820 + -1820 = 0 0 + -35x = 35 + -1820 -35x = 35 + -1820 Combine like terms: 35 + -1820 = -1785 -35x = -1785 Divide each side by '-35'. x = 51 Simplifying x = 51
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