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Simplifying 0.5(0.6x + -0.75) = x + -1 Reorder the terms: 0.5(-0.75 + 0.6x) = x + -1 (-0.75 * 0.5 + 0.6x * 0.5) = x + -1 (-0.375 + 0.3x) = x + -1 Reorder the terms: -0.375 + 0.3x = -1 + x Solving -0.375 + 0.3x = -1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -0.375 + 0.3x + -1x = -1 + x + -1x Combine like terms: 0.3x + -1x = -0.7x -0.375 + -0.7x = -1 + x + -1x Combine like terms: x + -1x = 0 -0.375 + -0.7x = -1 + 0 -0.375 + -0.7x = -1 Add '0.375' to each side of the equation. -0.375 + 0.375 + -0.7x = -1 + 0.375 Combine like terms: -0.375 + 0.375 = 0.000 0.000 + -0.7x = -1 + 0.375 -0.7x = -1 + 0.375 Combine like terms: -1 + 0.375 = -0.625 -0.7x = -0.625 Divide each side by '-0.7'. x = 0.8928571429 Simplifying x = 0.8928571429
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