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Simplifying 0.2(x + 1) = 5x + 12.2 Reorder the terms: 0.2(1 + x) = 5x + 12.2 (1 * 0.2 + x * 0.2) = 5x + 12.2 (0.2 + 0.2x) = 5x + 12.2 Reorder the terms: 0.2 + 0.2x = 12.2 + 5x Solving 0.2 + 0.2x = 12.2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 0.2 + 0.2x + -5x = 12.2 + 5x + -5x Combine like terms: 0.2x + -5x = -4.8x 0.2 + -4.8x = 12.2 + 5x + -5x Combine like terms: 5x + -5x = 0 0.2 + -4.8x = 12.2 + 0 0.2 + -4.8x = 12.2 Add '-0.2' to each side of the equation. 0.2 + -0.2 + -4.8x = 12.2 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -4.8x = 12.2 + -0.2 -4.8x = 12.2 + -0.2 Combine like terms: 12.2 + -0.2 = 12 -4.8x = 12 Divide each side by '-4.8'. x = -2.5 Simplifying x = -2.5
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