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Simplifying 5.1x + 4(2 + -10x) = 15 + -31.9x 5.1x + (2 * 4 + -10x * 4) = 15 + -31.9x 5.1x + (8 + -40x) = 15 + -31.9x Reorder the terms: 8 + 5.1x + -40x = 15 + -31.9x Combine like terms: 5.1x + -40x = -34.9x 8 + -34.9x = 15 + -31.9x Solving 8 + -34.9x = 15 + -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 = 15 + -31.9x + 31.9x Combine like terms: -34.9x + 31.9x = -3x 8 + -3x = 15 + -31.9x + 31.9x Combine like terms: -31.9x + 31.9x = 0.0 8 + -3x = 15 + 0.0 8 + -3x = 15 Add '-8' to each side of the equation. 8 + -8 + -3x = 15 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 15 + -8 -3x = 15 + -8 Combine like terms: 15 + -8 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333
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