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Simplifying 0.5(x + 5) + -4 = 0.33(2x + -1) Reorder the terms: 0.5(5 + x) + -4 = 0.33(2x + -1) (5 * 0.5 + x * 0.5) + -4 = 0.33(2x + -1) (2.5 + 0.5x) + -4 = 0.33(2x + -1) Reorder the terms: 2.5 + -4 + 0.5x = 0.33(2x + -1) Combine like terms: 2.5 + -4 = -1.5 -1.5 + 0.5x = 0.33(2x + -1) Reorder the terms: -1.5 + 0.5x = 0.33(-1 + 2x) -1.5 + 0.5x = (-1 * 0.33 + 2x * 0.33) -1.5 + 0.5x = (-0.33 + 0.66x) Solving -1.5 + 0.5x = -0.33 + 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. -1.5 + 0.5x + -0.66x = -0.33 + 0.66x + -0.66x Combine like terms: 0.5x + -0.66x = -0.16x -1.5 + -0.16x = -0.33 + 0.66x + -0.66x Combine like terms: 0.66x + -0.66x = 0.00 -1.5 + -0.16x = -0.33 + 0.00 -1.5 + -0.16x = -0.33 Add '1.5' to each side of the equation. -1.5 + 1.5 + -0.16x = -0.33 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -0.16x = -0.33 + 1.5 -0.16x = -0.33 + 1.5 Combine like terms: -0.33 + 1.5 = 1.17 -0.16x = 1.17 Divide each side by '-0.16'. x = -7.3125 Simplifying x = -7.3125
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