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Simplifying 0.5(4x + -5) = 7x + -0.5 Reorder the terms: 0.5(-5 + 4x) = 7x + -0.5 (-5 * 0.5 + 4x * 0.5) = 7x + -0.5 (-2.5 + 2x) = 7x + -0.5 Reorder the terms: -2.5 + 2x = -0.5 + 7x Solving -2.5 + 2x = -0.5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2.5 + 2x + -7x = -0.5 + 7x + -7x Combine like terms: 2x + -7x = -5x -2.5 + -5x = -0.5 + 7x + -7x Combine like terms: 7x + -7x = 0 -2.5 + -5x = -0.5 + 0 -2.5 + -5x = -0.5 Add '2.5' to each side of the equation. -2.5 + 2.5 + -5x = -0.5 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + -5x = -0.5 + 2.5 -5x = -0.5 + 2.5 Combine like terms: -0.5 + 2.5 = 2 -5x = 2 Divide each side by '-5'. x = -0.4 Simplifying x = -0.4
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