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Simplifying 0.5x + -1.6 = 0.2(x + -5) Reorder the terms: -1.6 + 0.5x = 0.2(x + -5) Reorder the terms: -1.6 + 0.5x = 0.2(-5 + x) -1.6 + 0.5x = (-5 * 0.2 + x * 0.2) -1.6 + 0.5x = (-1 + 0.2x) Solving -1.6 + 0.5x = -1 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -1.6 + 0.5x + -0.2x = -1 + 0.2x + -0.2x Combine like terms: 0.5x + -0.2x = 0.3x -1.6 + 0.3x = -1 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -1.6 + 0.3x = -1 + 0.0 -1.6 + 0.3x = -1 Add '1.6' to each side of the equation. -1.6 + 1.6 + 0.3x = -1 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 0.3x = -1 + 1.6 0.3x = -1 + 1.6 Combine like terms: -1 + 1.6 = 0.6 0.3x = 0.6 Divide each side by '0.3'. x = 2 Simplifying x = 2
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