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Simplifying -4(26x + 27) = 15(-4 + 7x) Reorder the terms: -4(27 + 26x) = 15(-4 + 7x) (27 * -4 + 26x * -4) = 15(-4 + 7x) (-108 + -104x) = 15(-4 + 7x) -108 + -104x = (-4 * 15 + 7x * 15) -108 + -104x = (-60 + 105x) Solving -108 + -104x = -60 + 105x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-105x' to each side of the equation. -108 + -104x + -105x = -60 + 105x + -105x Combine like terms: -104x + -105x = -209x -108 + -209x = -60 + 105x + -105x Combine like terms: 105x + -105x = 0 -108 + -209x = -60 + 0 -108 + -209x = -60 Add '108' to each side of the equation. -108 + 108 + -209x = -60 + 108 Combine like terms: -108 + 108 = 0 0 + -209x = -60 + 108 -209x = -60 + 108 Combine like terms: -60 + 108 = 48 -209x = 48 Divide each side by '-209'. x = -0.2296650718 Simplifying x = -0.2296650718
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