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Simplifying 0.2(4x + -55) = 3x Reorder the terms: 0.2(-55 + 4x) = 3x (-55 * 0.2 + 4x * 0.2) = 3x (-11 + 0.8x) = 3x Solving -11 + 0.8x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -11 + 0.8x + -3x = 3x + -3x Combine like terms: 0.8x + -3x = -2.2x -11 + -2.2x = 3x + -3x Combine like terms: 3x + -3x = 0 -11 + -2.2x = 0 Add '11' to each side of the equation. -11 + 11 + -2.2x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -2.2x = 0 + 11 -2.2x = 0 + 11 Combine like terms: 0 + 11 = 11 -2.2x = 11 Divide each side by '-2.2'. x = -5 Simplifying x = -5
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