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Simplifying 5(x + -0.2) = 1.6(3x + 0.5) Reorder the terms: 5(-0.2 + x) = 1.6(3x + 0.5) (-0.2 * 5 + x * 5) = 1.6(3x + 0.5) (-1 + 5x) = 1.6(3x + 0.5) Reorder the terms: -1 + 5x = 1.6(0.5 + 3x) -1 + 5x = (0.5 * 1.6 + 3x * 1.6) -1 + 5x = (0.8 + 4.8x) Solving -1 + 5x = 0.8 + 4.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.8x' to each side of the equation. -1 + 5x + -4.8x = 0.8 + 4.8x + -4.8x Combine like terms: 5x + -4.8x = 0.2x -1 + 0.2x = 0.8 + 4.8x + -4.8x Combine like terms: 4.8x + -4.8x = 0.0 -1 + 0.2x = 0.8 + 0.0 -1 + 0.2x = 0.8 Add '1' to each side of the equation. -1 + 1 + 0.2x = 0.8 + 1 Combine like terms: -1 + 1 = 0 0 + 0.2x = 0.8 + 1 0.2x = 0.8 + 1 Combine like terms: 0.8 + 1 = 1.8 0.2x = 1.8 Divide each side by '0.2'. x = 9 Simplifying x = 9
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