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Simplifying 0.25(13x + 6) = 0.33(7x + -1) Reorder the terms: 0.25(6 + 13x) = 0.33(7x + -1) (6 * 0.25 + 13x * 0.25) = 0.33(7x + -1) (1.5 + 3.25x) = 0.33(7x + -1) Reorder the terms: 1.5 + 3.25x = 0.33(-1 + 7x) 1.5 + 3.25x = (-1 * 0.33 + 7x * 0.33) 1.5 + 3.25x = (-0.33 + 2.31x) Solving 1.5 + 3.25x = -0.33 + 2.31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.31x' to each side of the equation. 1.5 + 3.25x + -2.31x = -0.33 + 2.31x + -2.31x Combine like terms: 3.25x + -2.31x = 0.94x 1.5 + 0.94x = -0.33 + 2.31x + -2.31x Combine like terms: 2.31x + -2.31x = 0.00 1.5 + 0.94x = -0.33 + 0.00 1.5 + 0.94x = -0.33 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 0.94x = -0.33 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.94x = -0.33 + -1.5 0.94x = -0.33 + -1.5 Combine like terms: -0.33 + -1.5 = -1.83 0.94x = -1.83 Divide each side by '0.94'. x = -1.946808511 Simplifying x = -1.946808511
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