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Simplifying 0.05 + -0.06(2 + x) = 0.01x + -0.14 0.05 + (2 * -0.06 + x * -0.06) = 0.01x + -0.14 0.05 + (-0.12 + -0.06x) = 0.01x + -0.14 Combine like terms: 0.05 + -0.12 = -0.07 -0.07 + -0.06x = 0.01x + -0.14 Reorder the terms: -0.07 + -0.06x = -0.14 + 0.01x Solving -0.07 + -0.06x = -0.14 + 0.01x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.01x' to each side of the equation. -0.07 + -0.06x + -0.01x = -0.14 + 0.01x + -0.01x Combine like terms: -0.06x + -0.01x = -0.07x -0.07 + -0.07x = -0.14 + 0.01x + -0.01x Combine like terms: 0.01x + -0.01x = 0.00 -0.07 + -0.07x = -0.14 + 0.00 -0.07 + -0.07x = -0.14 Add '0.07' to each side of the equation. -0.07 + 0.07 + -0.07x = -0.14 + 0.07 Combine like terms: -0.07 + 0.07 = 0.00 0.00 + -0.07x = -0.14 + 0.07 -0.07x = -0.14 + 0.07 Combine like terms: -0.14 + 0.07 = -0.07 -0.07x = -0.07 Divide each side by '-0.07'. x = 1 Simplifying x = 1
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