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Simplifying x + 10 = 0.2(x + 2) Reorder the terms: 10 + x = 0.2(x + 2) Reorder the terms: 10 + x = 0.2(2 + x) 10 + x = (2 * 0.2 + x * 0.2) 10 + x = (0.4 + 0.2x) Solving 10 + x = 0.4 + 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. 10 + x + -0.2x = 0.4 + 0.2x + -0.2x Combine like terms: x + -0.2x = 0.8x 10 + 0.8x = 0.4 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 10 + 0.8x = 0.4 + 0.0 10 + 0.8x = 0.4 Add '-10' to each side of the equation. 10 + -10 + 0.8x = 0.4 + -10 Combine like terms: 10 + -10 = 0 0 + 0.8x = 0.4 + -10 0.8x = 0.4 + -10 Combine like terms: 0.4 + -10 = -9.6 0.8x = -9.6 Divide each side by '0.8'. x = -12 Simplifying x = -12
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