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Simplifying 0.1x + -4.5 = 0.5(x + -5) Reorder the terms: -4.5 + 0.1x = 0.5(x + -5) Reorder the terms: -4.5 + 0.1x = 0.5(-5 + x) -4.5 + 0.1x = (-5 * 0.5 + x * 0.5) -4.5 + 0.1x = (-2.5 + 0.5x) Solving -4.5 + 0.1x = -2.5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -4.5 + 0.1x + -0.5x = -2.5 + 0.5x + -0.5x Combine like terms: 0.1x + -0.5x = -0.4x -4.5 + -0.4x = -2.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -4.5 + -0.4x = -2.5 + 0.0 -4.5 + -0.4x = -2.5 Add '4.5' to each side of the equation. -4.5 + 4.5 + -0.4x = -2.5 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + -0.4x = -2.5 + 4.5 -0.4x = -2.5 + 4.5 Combine like terms: -2.5 + 4.5 = 2 -0.4x = 2 Divide each side by '-0.4'. x = -5 Simplifying x = -5
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