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Simplifying -2(3x + 15) + -1(10 + x) = 35 Reorder the terms: -2(15 + 3x) + -1(10 + x) = 35 (15 * -2 + 3x * -2) + -1(10 + x) = 35 (-30 + -6x) + -1(10 + x) = 35 -30 + -6x + (10 * -1 + x * -1) = 35 -30 + -6x + (-10 + -1x) = 35 Reorder the terms: -30 + -10 + -6x + -1x = 35 Combine like terms: -30 + -10 = -40 -40 + -6x + -1x = 35 Combine like terms: -6x + -1x = -7x -40 + -7x = 35 Solving -40 + -7x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -7x = 35 + 40 Combine like terms: -40 + 40 = 0 0 + -7x = 35 + 40 -7x = 35 + 40 Combine like terms: 35 + 40 = 75 -7x = 75 Divide each side by '-7'. x = -10.71428571 Simplifying x = -10.71428571
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