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Simplifying 0.7 + -1.8x + -0.4x + -1.5 = 0.35x + 3 + -0.55x + 0.2 Reorder the terms: 0.7 + -1.5 + -1.8x + -0.4x = 0.35x + 3 + -0.55x + 0.2 Combine like terms: 0.7 + -1.5 = -0.8 -0.8 + -1.8x + -0.4x = 0.35x + 3 + -0.55x + 0.2 Combine like terms: -1.8x + -0.4x = -2.2x -0.8 + -2.2x = 0.35x + 3 + -0.55x + 0.2 Reorder the terms: -0.8 + -2.2x = 3 + 0.2 + 0.35x + -0.55x Combine like terms: 3 + 0.2 = 3.2 -0.8 + -2.2x = 3.2 + 0.35x + -0.55x Combine like terms: 0.35x + -0.55x = -0.2x -0.8 + -2.2x = 3.2 + -0.2x Solving -0.8 + -2.2x = 3.2 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. -0.8 + -2.2x + 0.2x = 3.2 + -0.2x + 0.2x Combine like terms: -2.2x + 0.2x = -2x -0.8 + -2x = 3.2 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -0.8 + -2x = 3.2 + 0.0 -0.8 + -2x = 3.2 Add '0.8' to each side of the equation. -0.8 + 0.8 + -2x = 3.2 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + -2x = 3.2 + 0.8 -2x = 3.2 + 0.8 Combine like terms: 3.2 + 0.8 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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