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Simplifying 1.25x + -1x + 6 = 1.428x Reorder the terms: 6 + 1.25x + -1x = 1.428x Combine like terms: 1.25x + -1x = 0.25x 6 + 0.25x = 1.428x Solving 6 + 0.25x = 1.428x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.428x' to each side of the equation. 6 + 0.25x + -1.428x = 1.428x + -1.428x Combine like terms: 0.25x + -1.428x = -1.178x 6 + -1.178x = 1.428x + -1.428x Combine like terms: 1.428x + -1.428x = 0.000 6 + -1.178x = 0.000 Add '-6' to each side of the equation. 6 + -6 + -1.178x = 0.000 + -6 Combine like terms: 6 + -6 = 0 0 + -1.178x = 0.000 + -6 -1.178x = 0.000 + -6 Combine like terms: 0.000 + -6 = -6 -1.178x = -6 Divide each side by '-1.178'. x = 5.093378608 Simplifying x = 5.093378608
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