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Simplifying 5.1x + 4(2 + -10x) = 31.9x 5.1x + (2 * 4 + -10x * 4) = 31.9x 5.1x + (8 + -40x) = 31.9x Reorder the terms: 8 + 5.1x + -40x = 31.9x Combine like terms: 5.1x + -40x = -34.9x 8 + -34.9x = 31.9x Solving 8 + -34.9x = 31.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31.9x' to each side of the equation. 8 + -34.9x + -31.9x = 31.9x + -31.9x Combine like terms: -34.9x + -31.9x = -66.8x 8 + -66.8x = 31.9x + -31.9x Combine like terms: 31.9x + -31.9x = 0.0 8 + -66.8x = 0.0 Add '-8' to each side of the equation. 8 + -8 + -66.8x = 0.0 + -8 Combine like terms: 8 + -8 = 0 0 + -66.8x = 0.0 + -8 -66.8x = 0.0 + -8 Combine like terms: 0.0 + -8 = -8 -66.8x = -8 Divide each side by '-66.8'. x = 0.119760479 Simplifying x = 0.119760479
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