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Simplifying 0.2x + -3x + 2 = 0.4x + 18 Reorder the terms: 2 + 0.2x + -3x = 0.4x + 18 Combine like terms: 0.2x + -3x = -2.8x 2 + -2.8x = 0.4x + 18 Reorder the terms: 2 + -2.8x = 18 + 0.4x Solving 2 + -2.8x = 18 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 2 + -2.8x + -0.4x = 18 + 0.4x + -0.4x Combine like terms: -2.8x + -0.4x = -3.2x 2 + -3.2x = 18 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 2 + -3.2x = 18 + 0.0 2 + -3.2x = 18 Add '-2' to each side of the equation. 2 + -2 + -3.2x = 18 + -2 Combine like terms: 2 + -2 = 0 0 + -3.2x = 18 + -2 -3.2x = 18 + -2 Combine like terms: 18 + -2 = 16 -3.2x = 16 Divide each side by '-3.2'. x = -5 Simplifying x = -5
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