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Simplifying 38(2x + -1) = 60(4x + -26) Reorder the terms: 38(-1 + 2x) = 60(4x + -26) (-1 * 38 + 2x * 38) = 60(4x + -26) (-38 + 76x) = 60(4x + -26) Reorder the terms: -38 + 76x = 60(-26 + 4x) -38 + 76x = (-26 * 60 + 4x * 60) -38 + 76x = (-1560 + 240x) Solving -38 + 76x = -1560 + 240x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-240x' to each side of the equation. -38 + 76x + -240x = -1560 + 240x + -240x Combine like terms: 76x + -240x = -164x -38 + -164x = -1560 + 240x + -240x Combine like terms: 240x + -240x = 0 -38 + -164x = -1560 + 0 -38 + -164x = -1560 Add '38' to each side of the equation. -38 + 38 + -164x = -1560 + 38 Combine like terms: -38 + 38 = 0 0 + -164x = -1560 + 38 -164x = -1560 + 38 Combine like terms: -1560 + 38 = -1522 -164x = -1522 Divide each side by '-164'. x = 9.280487805 Simplifying x = 9.280487805
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