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Simplifying 0.1(x + -5) + 0.16x = 0.06x + -0.05(30) Reorder the terms: 0.1(-5 + x) + 0.16x = 0.06x + -0.05(30) (-5 * 0.1 + x * 0.1) + 0.16x = 0.06x + -0.05(30) (-0.5 + 0.1x) + 0.16x = 0.06x + -0.05(30) Combine like terms: 0.1x + 0.16x = 0.26x -0.5 + 0.26x = 0.06x + -0.05(30) Multiply -0.05 * 30 -0.5 + 0.26x = 0.06x + -1.5 Reorder the terms: -0.5 + 0.26x = -1.5 + 0.06x Solving -0.5 + 0.26x = -1.5 + 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. -0.5 + 0.26x + -0.06x = -1.5 + 0.06x + -0.06x Combine like terms: 0.26x + -0.06x = 0.2x -0.5 + 0.2x = -1.5 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 -0.5 + 0.2x = -1.5 + 0.00 -0.5 + 0.2x = -1.5 Add '0.5' to each side of the equation. -0.5 + 0.5 + 0.2x = -1.5 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 0.2x = -1.5 + 0.5 0.2x = -1.5 + 0.5 Combine like terms: -1.5 + 0.5 = -1 0.2x = -1 Divide each side by '0.2'. x = -5 Simplifying x = -5
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