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Simplifying 0.16(x + -5) + 0.20x = 0.06x + -2 Reorder the terms: 0.16(-5 + x) + 0.20x = 0.06x + -2 (-5 * 0.16 + x * 0.16) + 0.20x = 0.06x + -2 (-0.8 + 0.16x) + 0.20x = 0.06x + -2 Combine like terms: 0.16x + 0.20x = 0.36x -0.8 + 0.36x = 0.06x + -2 Reorder the terms: -0.8 + 0.36x = -2 + 0.06x Solving -0.8 + 0.36x = -2 + 0.06x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.06x' to each side of the equation. -0.8 + 0.36x + -0.06x = -2 + 0.06x + -0.06x Combine like terms: 0.36x + -0.06x = 0.3x -0.8 + 0.3x = -2 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 -0.8 + 0.3x = -2 + 0.00 -0.8 + 0.3x = -2 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.3x = -2 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.3x = -2 + 0.8 0.3x = -2 + 0.8 Combine like terms: -2 + 0.8 = -1.2 0.3x = -1.2 Divide each side by '0.3'. x = -4 Simplifying x = -4
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