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Simplifying 5.1x + 1 = 2.1x + 13 Reorder the terms: 1 + 5.1x = 2.1x + 13 Reorder the terms: 1 + 5.1x = 13 + 2.1x Solving 1 + 5.1x = 13 + 2.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.1x' to each side of the equation. 1 + 5.1x + -2.1x = 13 + 2.1x + -2.1x Combine like terms: 5.1x + -2.1x = 3x 1 + 3x = 13 + 2.1x + -2.1x Combine like terms: 2.1x + -2.1x = 0.0 1 + 3x = 13 + 0.0 1 + 3x = 13 Add '-1' to each side of the equation. 1 + -1 + 3x = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 13 + -1 3x = 13 + -1 Combine like terms: 13 + -1 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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