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Simplifying -1.33333x + -0.5 = 2(0.16667x + -4) Reorder the terms: -0.5 + -1.33333x = 2(0.16667x + -4) Reorder the terms: -0.5 + -1.33333x = 2(-4 + 0.16667x) -0.5 + -1.33333x = (-4 * 2 + 0.16667x * 2) -0.5 + -1.33333x = (-8 + 0.33334x) Solving -0.5 + -1.33333x = -8 + 0.33334x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.33334x' to each side of the equation. -0.5 + -1.33333x + -0.33334x = -8 + 0.33334x + -0.33334x Combine like terms: -1.33333x + -0.33334x = -1.66667x -0.5 + -1.66667x = -8 + 0.33334x + -0.33334x Combine like terms: 0.33334x + -0.33334x = 0.00000 -0.5 + -1.66667x = -8 + 0.00000 -0.5 + -1.66667x = -8 Add '0.5' to each side of the equation. -0.5 + 0.5 + -1.66667x = -8 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -1.66667x = -8 + 0.5 -1.66667x = -8 + 0.5 Combine like terms: -8 + 0.5 = -7.5 -1.66667x = -7.5 Divide each side by '-1.66667'. x = 4.499991 Simplifying x = 4.499991
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