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Simplifying 5.1x + 3 = 3.6x + -9 Reorder the terms: 3 + 5.1x = 3.6x + -9 Reorder the terms: 3 + 5.1x = -9 + 3.6x Solving 3 + 5.1x = -9 + 3.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.6x' to each side of the equation. 3 + 5.1x + -3.6x = -9 + 3.6x + -3.6x Combine like terms: 5.1x + -3.6x = 1.5x 3 + 1.5x = -9 + 3.6x + -3.6x Combine like terms: 3.6x + -3.6x = 0.0 3 + 1.5x = -9 + 0.0 3 + 1.5x = -9 Add '-3' to each side of the equation. 3 + -3 + 1.5x = -9 + -3 Combine like terms: 3 + -3 = 0 0 + 1.5x = -9 + -3 1.5x = -9 + -3 Combine like terms: -9 + -3 = -12 1.5x = -12 Divide each side by '1.5'. x = -8 Simplifying x = -8
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