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Simplifying 0.428x + -1 = 0.666(6x + -2) Reorder the terms: -1 + 0.428x = 0.666(6x + -2) Reorder the terms: -1 + 0.428x = 0.666(-2 + 6x) -1 + 0.428x = (-2 * 0.666 + 6x * 0.666) -1 + 0.428x = (-1.332 + 3.996x) Solving -1 + 0.428x = -1.332 + 3.996x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.996x' to each side of the equation. -1 + 0.428x + -3.996x = -1.332 + 3.996x + -3.996x Combine like terms: 0.428x + -3.996x = -3.568x -1 + -3.568x = -1.332 + 3.996x + -3.996x Combine like terms: 3.996x + -3.996x = 0.000 -1 + -3.568x = -1.332 + 0.000 -1 + -3.568x = -1.332 Add '1' to each side of the equation. -1 + 1 + -3.568x = -1.332 + 1 Combine like terms: -1 + 1 = 0 0 + -3.568x = -1.332 + 1 -3.568x = -1.332 + 1 Combine like terms: -1.332 + 1 = -0.332 -3.568x = -0.332 Divide each side by '-3.568'. x = 0.09304932735 Simplifying x = 0.09304932735
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