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Simplifying 0.2(x + 3.1) = 5x + -64 Reorder the terms: 0.2(3.1 + x) = 5x + -64 (3.1 * 0.2 + x * 0.2) = 5x + -64 (0.62 + 0.2x) = 5x + -64 Reorder the terms: 0.62 + 0.2x = -64 + 5x Solving 0.62 + 0.2x = -64 + 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. 0.62 + 0.2x + -5x = -64 + 5x + -5x Combine like terms: 0.2x + -5x = -4.8x 0.62 + -4.8x = -64 + 5x + -5x Combine like terms: 5x + -5x = 0 0.62 + -4.8x = -64 + 0 0.62 + -4.8x = -64 Add '-0.62' to each side of the equation. 0.62 + -0.62 + -4.8x = -64 + -0.62 Combine like terms: 0.62 + -0.62 = 0.00 0.00 + -4.8x = -64 + -0.62 -4.8x = -64 + -0.62 Combine like terms: -64 + -0.62 = -64.62 -4.8x = -64.62 Divide each side by '-4.8'. x = 13.4625 Simplifying x = 13.4625
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