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Simplifying 0.5x + -3 = 0.66(x + -1) Reorder the terms: -3 + 0.5x = 0.66(x + -1) Reorder the terms: -3 + 0.5x = 0.66(-1 + x) -3 + 0.5x = (-1 * 0.66 + x * 0.66) -3 + 0.5x = (-0.66 + 0.66x) Solving -3 + 0.5x = -0.66 + 0.66x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.66x' to each side of the equation. -3 + 0.5x + -0.66x = -0.66 + 0.66x + -0.66x Combine like terms: 0.5x + -0.66x = -0.16x -3 + -0.16x = -0.66 + 0.66x + -0.66x Combine like terms: 0.66x + -0.66x = 0.00 -3 + -0.16x = -0.66 + 0.00 -3 + -0.16x = -0.66 Add '3' to each side of the equation. -3 + 3 + -0.16x = -0.66 + 3 Combine like terms: -3 + 3 = 0 0 + -0.16x = -0.66 + 3 -0.16x = -0.66 + 3 Combine like terms: -0.66 + 3 = 2.34 -0.16x = 2.34 Divide each side by '-0.16'. x = -14.625 Simplifying x = -14.625
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