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Simplifying -4(5 + -9x) + -6x = 13 + -10x (5 * -4 + -9x * -4) + -6x = 13 + -10x (-20 + 36x) + -6x = 13 + -10x Combine like terms: 36x + -6x = 30x -20 + 30x = 13 + -10x Solving -20 + 30x = 13 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -20 + 30x + 10x = 13 + -10x + 10x Combine like terms: 30x + 10x = 40x -20 + 40x = 13 + -10x + 10x Combine like terms: -10x + 10x = 0 -20 + 40x = 13 + 0 -20 + 40x = 13 Add '20' to each side of the equation. -20 + 20 + 40x = 13 + 20 Combine like terms: -20 + 20 = 0 0 + 40x = 13 + 20 40x = 13 + 20 Combine like terms: 13 + 20 = 33 40x = 33 Divide each side by '40'. x = 0.825 Simplifying x = 0.825
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