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Simplifying 0.1666(x + 3) = 3x + -5(3 + -1x) + -8 Reorder the terms: 0.1666(3 + x) = 3x + -5(3 + -1x) + -8 (3 * 0.1666 + x * 0.1666) = 3x + -5(3 + -1x) + -8 (0.4998 + 0.1666x) = 3x + -5(3 + -1x) + -8 0.4998 + 0.1666x = 3x + (3 * -5 + -1x * -5) + -8 0.4998 + 0.1666x = 3x + (-15 + 5x) + -8 Reorder the terms: 0.4998 + 0.1666x = -15 + -8 + 3x + 5x Combine like terms: -15 + -8 = -23 0.4998 + 0.1666x = -23 + 3x + 5x Combine like terms: 3x + 5x = 8x 0.4998 + 0.1666x = -23 + 8x Solving 0.4998 + 0.1666x = -23 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 0.4998 + 0.1666x + -8x = -23 + 8x + -8x Combine like terms: 0.1666x + -8x = -7.8334x 0.4998 + -7.8334x = -23 + 8x + -8x Combine like terms: 8x + -8x = 0 0.4998 + -7.8334x = -23 + 0 0.4998 + -7.8334x = -23 Add '-0.4998' to each side of the equation. 0.4998 + -0.4998 + -7.8334x = -23 + -0.4998 Combine like terms: 0.4998 + -0.4998 = 0.0000 0.0000 + -7.8334x = -23 + -0.4998 -7.8334x = -23 + -0.4998 Combine like terms: -23 + -0.4998 = -23.4998 -7.8334x = -23.4998 Divide each side by '-7.8334'. x = 2.999948937 Simplifying x = 2.999948937
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