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Simplifying x + -6 = 0.8(x + 5) Reorder the terms: -6 + x = 0.8(x + 5) Reorder the terms: -6 + x = 0.8(5 + x) -6 + x = (5 * 0.8 + x * 0.8) -6 + x = (4 + 0.8x) Solving -6 + x = 4 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. -6 + x + -0.8x = 4 + 0.8x + -0.8x Combine like terms: x + -0.8x = 0.2x -6 + 0.2x = 4 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -6 + 0.2x = 4 + 0.0 -6 + 0.2x = 4 Add '6' to each side of the equation. -6 + 6 + 0.2x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 0.2x = 4 + 6 0.2x = 4 + 6 Combine like terms: 4 + 6 = 10 0.2x = 10 Divide each side by '0.2'. x = 50 Simplifying x = 50
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