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Simplifying 5x + 2.8 + -3.3x = 4.12 + 0.5x + -5.52 Reorder the terms: 2.8 + 5x + -3.3x = 4.12 + 0.5x + -5.52 Combine like terms: 5x + -3.3x = 1.7x 2.8 + 1.7x = 4.12 + 0.5x + -5.52 Reorder the terms: 2.8 + 1.7x = 4.12 + -5.52 + 0.5x Combine like terms: 4.12 + -5.52 = -1.4 2.8 + 1.7x = -1.4 + 0.5x Solving 2.8 + 1.7x = -1.4 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 2.8 + 1.7x + -0.5x = -1.4 + 0.5x + -0.5x Combine like terms: 1.7x + -0.5x = 1.2x 2.8 + 1.2x = -1.4 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 2.8 + 1.2x = -1.4 + 0.0 2.8 + 1.2x = -1.4 Add '-2.8' to each side of the equation. 2.8 + -2.8 + 1.2x = -1.4 + -2.8 Combine like terms: 2.8 + -2.8 = 0.0 0.0 + 1.2x = -1.4 + -2.8 1.2x = -1.4 + -2.8 Combine like terms: -1.4 + -2.8 = -4.2 1.2x = -4.2 Divide each side by '1.2'. x = -3.5 Simplifying x = -3.5
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