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Simplifying -0.2(x + 1) = 0.3(x + 111) Reorder the terms: -0.2(1 + x) = 0.3(x + 111) (1 * -0.2 + x * -0.2) = 0.3(x + 111) (-0.2 + -0.2x) = 0.3(x + 111) Reorder the terms: -0.2 + -0.2x = 0.3(111 + x) -0.2 + -0.2x = (111 * 0.3 + x * 0.3) -0.2 + -0.2x = (33.3 + 0.3x) Solving -0.2 + -0.2x = 33.3 + 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. -0.2 + -0.2x + -0.3x = 33.3 + 0.3x + -0.3x Combine like terms: -0.2x + -0.3x = -0.5x -0.2 + -0.5x = 33.3 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -0.2 + -0.5x = 33.3 + 0.0 -0.2 + -0.5x = 33.3 Add '0.2' to each side of the equation. -0.2 + 0.2 + -0.5x = 33.3 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + -0.5x = 33.3 + 0.2 -0.5x = 33.3 + 0.2 Combine like terms: 33.3 + 0.2 = 33.5 -0.5x = 33.5 Divide each side by '-0.5'. x = -67 Simplifying x = -67
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