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Simplifying 0.06x + -0.10(x + -2) = 0 + -0.02(8) Reorder the terms: 0.06x + -0.10(-2 + x) = 0 + -0.02(8) 0.06x + (-2 * -0.10 + x * -0.10) = 0 + -0.02(8) 0.06x + (0.2 + -0.10x) = 0 + -0.02(8) Reorder the terms: 0.2 + 0.06x + -0.10x = 0 + -0.02(8) Combine like terms: 0.06x + -0.10x = -0.04x 0.2 + -0.04x = 0 + -0.02(8) Multiply -0.02 * 8 0.2 + -0.04x = 0 + -0.16 Combine like terms: 0 + -0.16 = -0.16 0.2 + -0.04x = -0.16 Solving 0.2 + -0.04x = -0.16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + -0.04x = -0.16 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -0.04x = -0.16 + -0.2 -0.04x = -0.16 + -0.2 Combine like terms: -0.16 + -0.2 = -0.36 -0.04x = -0.36 Divide each side by '-0.04'. x = 9 Simplifying x = 9
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