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Simplifying 0.5x + -3.05 = 0.4(x + -5) Reorder the terms: -3.05 + 0.5x = 0.4(x + -5) Reorder the terms: -3.05 + 0.5x = 0.4(-5 + x) -3.05 + 0.5x = (-5 * 0.4 + x * 0.4) -3.05 + 0.5x = (-2 + 0.4x) Solving -3.05 + 0.5x = -2 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. -3.05 + 0.5x + -0.4x = -2 + 0.4x + -0.4x Combine like terms: 0.5x + -0.4x = 0.1x -3.05 + 0.1x = -2 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -3.05 + 0.1x = -2 + 0.0 -3.05 + 0.1x = -2 Add '3.05' to each side of the equation. -3.05 + 3.05 + 0.1x = -2 + 3.05 Combine like terms: -3.05 + 3.05 = 0.00 0.00 + 0.1x = -2 + 3.05 0.1x = -2 + 3.05 Combine like terms: -2 + 3.05 = 1.05 0.1x = 1.05 Divide each side by '0.1'. x = 10.5 Simplifying x = 10.5
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