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Simplifying 0.02x + -4 = 0.5(x + -6) Reorder the terms: -4 + 0.02x = 0.5(x + -6) Reorder the terms: -4 + 0.02x = 0.5(-6 + x) -4 + 0.02x = (-6 * 0.5 + x * 0.5) -4 + 0.02x = (-3 + 0.5x) Solving -4 + 0.02x = -3 + 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 + 0.02x + -0.5x = -3 + 0.5x + -0.5x Combine like terms: 0.02x + -0.5x = -0.48x -4 + -0.48x = -3 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -4 + -0.48x = -3 + 0.0 -4 + -0.48x = -3 Add '4' to each side of the equation. -4 + 4 + -0.48x = -3 + 4 Combine like terms: -4 + 4 = 0 0 + -0.48x = -3 + 4 -0.48x = -3 + 4 Combine like terms: -3 + 4 = 1 -0.48x = 1 Divide each side by '-0.48'. x = -2.083333333 Simplifying x = -2.083333333
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