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Simplifying 6x + 8 + -13x + 10 = 46x + -11 + 4x Reorder the terms: 8 + 10 + 6x + -13x = 46x + -11 + 4x Combine like terms: 8 + 10 = 18 18 + 6x + -13x = 46x + -11 + 4x Combine like terms: 6x + -13x = -7x 18 + -7x = 46x + -11 + 4x Reorder the terms: 18 + -7x = -11 + 46x + 4x Combine like terms: 46x + 4x = 50x 18 + -7x = -11 + 50x Solving 18 + -7x = -11 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. 18 + -7x + -50x = -11 + 50x + -50x Combine like terms: -7x + -50x = -57x 18 + -57x = -11 + 50x + -50x Combine like terms: 50x + -50x = 0 18 + -57x = -11 + 0 18 + -57x = -11 Add '-18' to each side of the equation. 18 + -18 + -57x = -11 + -18 Combine like terms: 18 + -18 = 0 0 + -57x = -11 + -18 -57x = -11 + -18 Combine like terms: -11 + -18 = -29 -57x = -29 Divide each side by '-57'. x = 0.5087719298 Simplifying x = 0.5087719298
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