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Simplifying 0.03x + -1 = 0.5(x + 2) + -0.2x Reorder the terms: -1 + 0.03x = 0.5(x + 2) + -0.2x Reorder the terms: -1 + 0.03x = 0.5(2 + x) + -0.2x -1 + 0.03x = (2 * 0.5 + x * 0.5) + -0.2x -1 + 0.03x = (1 + 0.5x) + -0.2x Combine like terms: 0.5x + -0.2x = 0.3x -1 + 0.03x = 1 + 0.3x Solving -1 + 0.03x = 1 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. -1 + 0.03x + -0.3x = 1 + 0.3x + -0.3x Combine like terms: 0.03x + -0.3x = -0.27x -1 + -0.27x = 1 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -1 + -0.27x = 1 + 0.0 -1 + -0.27x = 1 Add '1' to each side of the equation. -1 + 1 + -0.27x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + -0.27x = 1 + 1 -0.27x = 1 + 1 Combine like terms: 1 + 1 = 2 -0.27x = 2 Divide each side by '-0.27'. x = -7.407407407 Simplifying x = -7.407407407
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