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Simplifying 42 + x = (13 + x) * 0.2 Reorder the terms for easier multiplication: 42 + x = 0.2(13 + x) 42 + x = (13 * 0.2 + x * 0.2) 42 + x = (2.6 + 0.2x) Solving 42 + x = 2.6 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 42 + x + -0.2x = 2.6 + 0.2x + -0.2x Combine like terms: x + -0.2x = 0.8x 42 + 0.8x = 2.6 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 42 + 0.8x = 2.6 + 0.0 42 + 0.8x = 2.6 Add '-42' to each side of the equation. 42 + -42 + 0.8x = 2.6 + -42 Combine like terms: 42 + -42 = 0 0 + 0.8x = 2.6 + -42 0.8x = 2.6 + -42 Combine like terms: 2.6 + -42 = -39.4 0.8x = -39.4 Divide each side by '0.8'. x = -49.25 Simplifying x = -49.25
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