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Simplifying 0.3333(x + 0.6666) = 0.16666(x + -4) Reorder the terms: 0.3333(0.6666 + x) = 0.16666(x + -4) (0.6666 * 0.3333 + x * 0.3333) = 0.16666(x + -4) (0.22217778 + 0.3333x) = 0.16666(x + -4) Reorder the terms: 0.22217778 + 0.3333x = 0.16666(-4 + x) 0.22217778 + 0.3333x = (-4 * 0.16666 + x * 0.16666) 0.22217778 + 0.3333x = (-0.66664 + 0.16666x) Solving 0.22217778 + 0.3333x = -0.66664 + 0.16666x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.16666x' to each side of the equation. 0.22217778 + 0.3333x + -0.16666x = -0.66664 + 0.16666x + -0.16666x Combine like terms: 0.3333x + -0.16666x = 0.16664x 0.22217778 + 0.16664x = -0.66664 + 0.16666x + -0.16666x Combine like terms: 0.16666x + -0.16666x = 0.00000 0.22217778 + 0.16664x = -0.66664 + 0.00000 0.22217778 + 0.16664x = -0.66664 Add '-0.22217778' to each side of the equation. 0.22217778 + -0.22217778 + 0.16664x = -0.66664 + -0.22217778 Combine like terms: 0.22217778 + -0.22217778 = 0.00000000 0.00000000 + 0.16664x = -0.66664 + -0.22217778 0.16664x = -0.66664 + -0.22217778 Combine like terms: -0.66664 + -0.22217778 = -0.88881778 0.16664x = -0.88881778 Divide each side by '0.16664'. x = -5.333760082 Simplifying x = -5.333760082
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