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Simplifying -26 + -1(10x + -5) = 9(x + 4) Reorder the terms: -26 + -1(-5 + 10x) = 9(x + 4) -26 + (-5 * -1 + 10x * -1) = 9(x + 4) -26 + (5 + -10x) = 9(x + 4) Combine like terms: -26 + 5 = -21 -21 + -10x = 9(x + 4) Reorder the terms: -21 + -10x = 9(4 + x) -21 + -10x = (4 * 9 + x * 9) -21 + -10x = (36 + 9x) Solving -21 + -10x = 36 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -21 + -10x + -9x = 36 + 9x + -9x Combine like terms: -10x + -9x = -19x -21 + -19x = 36 + 9x + -9x Combine like terms: 9x + -9x = 0 -21 + -19x = 36 + 0 -21 + -19x = 36 Add '21' to each side of the equation. -21 + 21 + -19x = 36 + 21 Combine like terms: -21 + 21 = 0 0 + -19x = 36 + 21 -19x = 36 + 21 Combine like terms: 36 + 21 = 57 -19x = 57 Divide each side by '-19'. x = -3 Simplifying x = -3
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