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Simplifying 0.8x + -4 = 0.6(x + 5) Reorder the terms: -4 + 0.8x = 0.6(x + 5) Reorder the terms: -4 + 0.8x = 0.6(5 + x) -4 + 0.8x = (5 * 0.6 + x * 0.6) -4 + 0.8x = (3 + 0.6x) Solving -4 + 0.8x = 3 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. -4 + 0.8x + -0.6x = 3 + 0.6x + -0.6x Combine like terms: 0.8x + -0.6x = 0.2x -4 + 0.2x = 3 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 -4 + 0.2x = 3 + 0.0 -4 + 0.2x = 3 Add '4' to each side of the equation. -4 + 4 + 0.2x = 3 + 4 Combine like terms: -4 + 4 = 0 0 + 0.2x = 3 + 4 0.2x = 3 + 4 Combine like terms: 3 + 4 = 7 0.2x = 7 Divide each side by '0.2'. x = 35 Simplifying x = 35
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