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Simplifying 0.4(-0.77 + 3x) = 2x (-0.77 * 0.4 + 3x * 0.4) = 2x (-0.308 + 1.2x) = 2x Solving -0.308 + 1.2x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -0.308 + 1.2x + -2x = 2x + -2x Combine like terms: 1.2x + -2x = -0.8x -0.308 + -0.8x = 2x + -2x Combine like terms: 2x + -2x = 0 -0.308 + -0.8x = 0 Add '0.308' to each side of the equation. -0.308 + 0.308 + -0.8x = 0 + 0.308 Combine like terms: -0.308 + 0.308 = 0.000 0.000 + -0.8x = 0 + 0.308 -0.8x = 0 + 0.308 Combine like terms: 0 + 0.308 = 0.308 -0.8x = 0.308 Divide each side by '-0.8'. x = -0.385 Simplifying x = -0.385
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