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Simplifying 5.1x + 3 = 26.1 + -2.9x Reorder the terms: 3 + 5.1x = 26.1 + -2.9x Solving 3 + 5.1x = 26.1 + -2.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.9x' to each side of the equation. 3 + 5.1x + 2.9x = 26.1 + -2.9x + 2.9x Combine like terms: 5.1x + 2.9x = 8x 3 + 8x = 26.1 + -2.9x + 2.9x Combine like terms: -2.9x + 2.9x = 0.0 3 + 8x = 26.1 + 0.0 3 + 8x = 26.1 Add '-3' to each side of the equation. 3 + -3 + 8x = 26.1 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 26.1 + -3 8x = 26.1 + -3 Combine like terms: 26.1 + -3 = 23.1 8x = 23.1 Divide each side by '8'. x = 2.8875 Simplifying x = 2.8875
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