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Simplifying 0.09 + -0.01(x + 2) = -0.02(4 + -6x) Reorder the terms: 0.09 + -0.01(2 + x) = -0.02(4 + -6x) 0.09 + (2 * -0.01 + x * -0.01) = -0.02(4 + -6x) 0.09 + (-0.02 + -0.01x) = -0.02(4 + -6x) Combine like terms: 0.09 + -0.02 = 0.07 0.07 + -0.01x = -0.02(4 + -6x) 0.07 + -0.01x = (4 * -0.02 + -6x * -0.02) 0.07 + -0.01x = (-0.08 + 0.12x) Solving 0.07 + -0.01x = -0.08 + 0.12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.12x' to each side of the equation. 0.07 + -0.01x + -0.12x = -0.08 + 0.12x + -0.12x Combine like terms: -0.01x + -0.12x = -0.13x 0.07 + -0.13x = -0.08 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 0.07 + -0.13x = -0.08 + 0.00 0.07 + -0.13x = -0.08 Add '-0.07' to each side of the equation. 0.07 + -0.07 + -0.13x = -0.08 + -0.07 Combine like terms: 0.07 + -0.07 = 0.00 0.00 + -0.13x = -0.08 + -0.07 -0.13x = -0.08 + -0.07 Combine like terms: -0.08 + -0.07 = -0.15 -0.13x = -0.15 Divide each side by '-0.13'. x = 1.153846154 Simplifying x = 1.153846154
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