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Simplifying 0.08 + -0.01(x + 1) = -0.024(4 + -1x) Reorder the terms: 0.08 + -0.01(1 + x) = -0.024(4 + -1x) 0.08 + (1 * -0.01 + x * -0.01) = -0.024(4 + -1x) 0.08 + (-0.01 + -0.01x) = -0.024(4 + -1x) Combine like terms: 0.08 + -0.01 = 0.07 0.07 + -0.01x = -0.024(4 + -1x) 0.07 + -0.01x = (4 * -0.024 + -1x * -0.024) 0.07 + -0.01x = (-0.096 + 0.024x) Solving 0.07 + -0.01x = -0.096 + 0.024x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.024x' to each side of the equation. 0.07 + -0.01x + -0.024x = -0.096 + 0.024x + -0.024x Combine like terms: -0.01x + -0.024x = -0.034x 0.07 + -0.034x = -0.096 + 0.024x + -0.024x Combine like terms: 0.024x + -0.024x = 0.000 0.07 + -0.034x = -0.096 + 0.000 0.07 + -0.034x = -0.096 Add '-0.07' to each side of the equation. 0.07 + -0.07 + -0.034x = -0.096 + -0.07 Combine like terms: 0.07 + -0.07 = 0.00 0.00 + -0.034x = -0.096 + -0.07 -0.034x = -0.096 + -0.07 Combine like terms: -0.096 + -0.07 = -0.166 -0.034x = -0.166 Divide each side by '-0.034'. x = 4.882352941 Simplifying x = 4.882352941
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