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Simplifying 0.4285x + -1 = 0.6666(6x + -2) Reorder the terms: -1 + 0.4285x = 0.6666(6x + -2) Reorder the terms: -1 + 0.4285x = 0.6666(-2 + 6x) -1 + 0.4285x = (-2 * 0.6666 + 6x * 0.6666) -1 + 0.4285x = (-1.3332 + 3.9996x) Solving -1 + 0.4285x = -1.3332 + 3.9996x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.9996x' to each side of the equation. -1 + 0.4285x + -3.9996x = -1.3332 + 3.9996x + -3.9996x Combine like terms: 0.4285x + -3.9996x = -3.5711x -1 + -3.5711x = -1.3332 + 3.9996x + -3.9996x Combine like terms: 3.9996x + -3.9996x = 0.0000 -1 + -3.5711x = -1.3332 + 0.0000 -1 + -3.5711x = -1.3332 Add '1' to each side of the equation. -1 + 1 + -3.5711x = -1.3332 + 1 Combine like terms: -1 + 1 = 0 0 + -3.5711x = -1.3332 + 1 -3.5711x = -1.3332 + 1 Combine like terms: -1.3332 + 1 = -0.3332 -3.5711x = -0.3332 Divide each side by '-3.5711'. x = 0.09330458402 Simplifying x = 0.09330458402
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