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Simplifying 0.33(2x + -1) = 0.5(3x + 1) Reorder the terms: 0.33(-1 + 2x) = 0.5(3x + 1) (-1 * 0.33 + 2x * 0.33) = 0.5(3x + 1) (-0.33 + 0.66x) = 0.5(3x + 1) Reorder the terms: -0.33 + 0.66x = 0.5(1 + 3x) -0.33 + 0.66x = (1 * 0.5 + 3x * 0.5) -0.33 + 0.66x = (0.5 + 1.5x) Solving -0.33 + 0.66x = 0.5 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. -0.33 + 0.66x + -1.5x = 0.5 + 1.5x + -1.5x Combine like terms: 0.66x + -1.5x = -0.84x -0.33 + -0.84x = 0.5 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -0.33 + -0.84x = 0.5 + 0.0 -0.33 + -0.84x = 0.5 Add '0.33' to each side of the equation. -0.33 + 0.33 + -0.84x = 0.5 + 0.33 Combine like terms: -0.33 + 0.33 = 0.00 0.00 + -0.84x = 0.5 + 0.33 -0.84x = 0.5 + 0.33 Combine like terms: 0.5 + 0.33 = 0.83 -0.84x = 0.83 Divide each side by '-0.84'. x = -0.9880952381 Simplifying x = -0.9880952381
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