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Simplifying 0.18(x + -9) + 0.08x = 0.20x + -0.03(70) Reorder the terms: 0.18(-9 + x) + 0.08x = 0.20x + -0.03(70) (-9 * 0.18 + x * 0.18) + 0.08x = 0.20x + -0.03(70) (-1.62 + 0.18x) + 0.08x = 0.20x + -0.03(70) Combine like terms: 0.18x + 0.08x = 0.26x -1.62 + 0.26x = 0.20x + -0.03(70) Multiply -0.03 * 70 -1.62 + 0.26x = 0.20x + -2.1 Reorder the terms: -1.62 + 0.26x = -2.1 + 0.20x Solving -1.62 + 0.26x = -2.1 + 0.20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.20x' to each side of the equation. -1.62 + 0.26x + -0.20x = -2.1 + 0.20x + -0.20x Combine like terms: 0.26x + -0.20x = 0.06x -1.62 + 0.06x = -2.1 + 0.20x + -0.20x Combine like terms: 0.20x + -0.20x = 0.00 -1.62 + 0.06x = -2.1 + 0.00 -1.62 + 0.06x = -2.1 Add '1.62' to each side of the equation. -1.62 + 1.62 + 0.06x = -2.1 + 1.62 Combine like terms: -1.62 + 1.62 = 0.00 0.00 + 0.06x = -2.1 + 1.62 0.06x = -2.1 + 1.62 Combine like terms: -2.1 + 1.62 = -0.48 0.06x = -0.48 Divide each side by '0.06'. x = -8 Simplifying x = -8
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