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Simplifying -35 + -1(-9) = -10 + -1(x + (-5)) Multiply -1 * -9 -35 + 9 = -10 + -1(x + (-5)) Combine like terms: -35 + 9 = -26 -26 = -10 + -1(x + (-5)) -26 = -10 + -1(x + -5) Reorder the terms: -26 = -10 + -1(-5 + x) -26 = -10 + (-5 * -1 + x * -1) -26 = -10 + (5 + -1x) Combine like terms: -10 + 5 = -5 -26 = -5 + -1x Solving -26 = -5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -26 + x = -5 + -1x + x Combine like terms: -1x + x = 0 -26 + x = -5 + 0 -26 + x = -5 Add '26' to each side of the equation. -26 + 26 + x = -5 + 26 Combine like terms: -26 + 26 = 0 0 + x = -5 + 26 x = -5 + 26 Combine like terms: -5 + 26 = 21 x = 21 Simplifying x = 21
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