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Simplifying 5(-2x + 6) = 4(-9x + 2) Reorder the terms: 5(6 + -2x) = 4(-9x + 2) (6 * 5 + -2x * 5) = 4(-9x + 2) (30 + -10x) = 4(-9x + 2) Reorder the terms: 30 + -10x = 4(2 + -9x) 30 + -10x = (2 * 4 + -9x * 4) 30 + -10x = (8 + -36x) Solving 30 + -10x = 8 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 30 + -10x + 36x = 8 + -36x + 36x Combine like terms: -10x + 36x = 26x 30 + 26x = 8 + -36x + 36x Combine like terms: -36x + 36x = 0 30 + 26x = 8 + 0 30 + 26x = 8 Add '-30' to each side of the equation. 30 + -30 + 26x = 8 + -30 Combine like terms: 30 + -30 = 0 0 + 26x = 8 + -30 26x = 8 + -30 Combine like terms: 8 + -30 = -22 26x = -22 Divide each side by '26'. x = -0.8461538462 Simplifying x = -0.8461538462
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