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Simplifying 0.15x + -4.25 = 0.5(x + -5) Reorder the terms: -4.25 + 0.15x = 0.5(x + -5) Reorder the terms: -4.25 + 0.15x = 0.5(-5 + x) -4.25 + 0.15x = (-5 * 0.5 + x * 0.5) -4.25 + 0.15x = (-2.5 + 0.5x) Solving -4.25 + 0.15x = -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. -4.25 + 0.15x + -0.5x = -2.5 + 0.5x + -0.5x Combine like terms: 0.15x + -0.5x = -0.35x -4.25 + -0.35x = -2.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -4.25 + -0.35x = -2.5 + 0.0 -4.25 + -0.35x = -2.5 Add '4.25' to each side of the equation. -4.25 + 4.25 + -0.35x = -2.5 + 4.25 Combine like terms: -4.25 + 4.25 = 0.00 0.00 + -0.35x = -2.5 + 4.25 -0.35x = -2.5 + 4.25 Combine like terms: -2.5 + 4.25 = 1.75 -0.35x = 1.75 Divide each side by '-0.35'. x = -5 Simplifying x = -5
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