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Simplifying 5.1x + -5.1 + -5.4x = -1.3x + -1.8 Reorder the terms: -5.1 + 5.1x + -5.4x = -1.3x + -1.8 Combine like terms: 5.1x + -5.4x = -0.3x -5.1 + -0.3x = -1.3x + -1.8 Reorder the terms: -5.1 + -0.3x = -1.8 + -1.3x Solving -5.1 + -0.3x = -1.8 + -1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.3x' to each side of the equation. -5.1 + -0.3x + 1.3x = -1.8 + -1.3x + 1.3x Combine like terms: -0.3x + 1.3x = 1x -5.1 + 1x = -1.8 + -1.3x + 1.3x Combine like terms: -1.3x + 1.3x = 0.0 -5.1 + 1x = -1.8 + 0.0 -5.1 + 1x = -1.8 Add '5.1' to each side of the equation. -5.1 + 5.1 + 1x = -1.8 + 5.1 Combine like terms: -5.1 + 5.1 = 0.0 0.0 + 1x = -1.8 + 5.1 1x = -1.8 + 5.1 Combine like terms: -1.8 + 5.1 = 3.3 1x = 3.3 Divide each side by '1'. x = 3.3 Simplifying x = 3.3
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