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Simplifying 0.75 + 2(-0.5) + 3x + -0.4 = 0 Multiply 2 * -0.5 0.75 + -1 + 3x + -0.4 = 0 Reorder the terms: 0.75 + -1 + -0.4 + 3x = 0 Combine like terms: 0.75 + -1 = -0.25 -0.25 + -0.4 + 3x = 0 Combine like terms: -0.25 + -0.4 = -0.65 -0.65 + 3x = 0 Solving -0.65 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.65' to each side of the equation. -0.65 + 0.65 + 3x = 0 + 0.65 Combine like terms: -0.65 + 0.65 = 0.00 0.00 + 3x = 0 + 0.65 3x = 0 + 0.65 Combine like terms: 0 + 0.65 = 0.65 3x = 0.65 Divide each side by '3'. x = 0.2166666667 Simplifying x = 0.2166666667
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