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Simplifying 0.02(x + -9) + 0.14x = 0.06x + -0.6 Reorder the terms: 0.02(-9 + x) + 0.14x = 0.06x + -0.6 (-9 * 0.02 + x * 0.02) + 0.14x = 0.06x + -0.6 (-0.18 + 0.02x) + 0.14x = 0.06x + -0.6 Combine like terms: 0.02x + 0.14x = 0.16x -0.18 + 0.16x = 0.06x + -0.6 Reorder the terms: -0.18 + 0.16x = -0.6 + 0.06x Solving -0.18 + 0.16x = -0.6 + 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. -0.18 + 0.16x + -0.06x = -0.6 + 0.06x + -0.06x Combine like terms: 0.16x + -0.06x = 0.1x -0.18 + 0.1x = -0.6 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 -0.18 + 0.1x = -0.6 + 0.00 -0.18 + 0.1x = -0.6 Add '0.18' to each side of the equation. -0.18 + 0.18 + 0.1x = -0.6 + 0.18 Combine like terms: -0.18 + 0.18 = 0.00 0.00 + 0.1x = -0.6 + 0.18 0.1x = -0.6 + 0.18 Combine like terms: -0.6 + 0.18 = -0.42 0.1x = -0.42 Divide each side by '0.1'. x = -4.2 Simplifying x = -4.2
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