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Simplifying 5.1x + 5 = 45 + -2.8x Reorder the terms: 5 + 5.1x = 45 + -2.8x Solving 5 + 5.1x = 45 + -2.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.8x' to each side of the equation. 5 + 5.1x + 2.8x = 45 + -2.8x + 2.8x Combine like terms: 5.1x + 2.8x = 7.9x 5 + 7.9x = 45 + -2.8x + 2.8x Combine like terms: -2.8x + 2.8x = 0.0 5 + 7.9x = 45 + 0.0 5 + 7.9x = 45 Add '-5' to each side of the equation. 5 + -5 + 7.9x = 45 + -5 Combine like terms: 5 + -5 = 0 0 + 7.9x = 45 + -5 7.9x = 45 + -5 Combine like terms: 45 + -5 = 40 7.9x = 40 Divide each side by '7.9'. x = 5.063291139 Simplifying x = 5.063291139
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