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Simplifying 0.4(0.53x + -4) = 0.67x + 0.6 Reorder the terms: 0.4(-4 + 0.53x) = 0.67x + 0.6 (-4 * 0.4 + 0.53x * 0.4) = 0.67x + 0.6 (-1.6 + 0.212x) = 0.67x + 0.6 Reorder the terms: -1.6 + 0.212x = 0.6 + 0.67x Solving -1.6 + 0.212x = 0.6 + 0.67x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.67x' to each side of the equation. -1.6 + 0.212x + -0.67x = 0.6 + 0.67x + -0.67x Combine like terms: 0.212x + -0.67x = -0.458x -1.6 + -0.458x = 0.6 + 0.67x + -0.67x Combine like terms: 0.67x + -0.67x = 0.00 -1.6 + -0.458x = 0.6 + 0.00 -1.6 + -0.458x = 0.6 Add '1.6' to each side of the equation. -1.6 + 1.6 + -0.458x = 0.6 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + -0.458x = 0.6 + 1.6 -0.458x = 0.6 + 1.6 Combine like terms: 0.6 + 1.6 = 2.2 -0.458x = 2.2 Divide each side by '-0.458'. x = -4.80349345 Simplifying x = -4.80349345
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