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Simplifying 0.2x + 3.51 = 3x + -5.1 Reorder the terms: 3.51 + 0.2x = 3x + -5.1 Reorder the terms: 3.51 + 0.2x = -5.1 + 3x Solving 3.51 + 0.2x = -5.1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 3.51 + 0.2x + -3x = -5.1 + 3x + -3x Combine like terms: 0.2x + -3x = -2.8x 3.51 + -2.8x = -5.1 + 3x + -3x Combine like terms: 3x + -3x = 0 3.51 + -2.8x = -5.1 + 0 3.51 + -2.8x = -5.1 Add '-3.51' to each side of the equation. 3.51 + -3.51 + -2.8x = -5.1 + -3.51 Combine like terms: 3.51 + -3.51 = 0.00 0.00 + -2.8x = -5.1 + -3.51 -2.8x = -5.1 + -3.51 Combine like terms: -5.1 + -3.51 = -8.61 -2.8x = -8.61 Divide each side by '-2.8'. x = 3.075 Simplifying x = 3.075
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