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Simplifying 0.14(x + -3) + 0.08x = 0.20x + -0.6 Reorder the terms: 0.14(-3 + x) + 0.08x = 0.20x + -0.6 (-3 * 0.14 + x * 0.14) + 0.08x = 0.20x + -0.6 (-0.42 + 0.14x) + 0.08x = 0.20x + -0.6 Combine like terms: 0.14x + 0.08x = 0.22x -0.42 + 0.22x = 0.20x + -0.6 Reorder the terms: -0.42 + 0.22x = -0.6 + 0.20x Solving -0.42 + 0.22x = -0.6 + 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. -0.42 + 0.22x + -0.20x = -0.6 + 0.20x + -0.20x Combine like terms: 0.22x + -0.20x = 0.02x -0.42 + 0.02x = -0.6 + 0.20x + -0.20x Combine like terms: 0.20x + -0.20x = 0.00 -0.42 + 0.02x = -0.6 + 0.00 -0.42 + 0.02x = -0.6 Add '0.42' to each side of the equation. -0.42 + 0.42 + 0.02x = -0.6 + 0.42 Combine like terms: -0.42 + 0.42 = 0.00 0.00 + 0.02x = -0.6 + 0.42 0.02x = -0.6 + 0.42 Combine like terms: -0.6 + 0.42 = -0.18 0.02x = -0.18 Divide each side by '0.02'. x = -9 Simplifying x = -9
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