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Simplifying 0.15 + -0.01(x + 1) = -6.02(2 + -1x) Reorder the terms: 0.15 + -0.01(1 + x) = -6.02(2 + -1x) 0.15 + (1 * -0.01 + x * -0.01) = -6.02(2 + -1x) 0.15 + (-0.01 + -0.01x) = -6.02(2 + -1x) Combine like terms: 0.15 + -0.01 = 0.14 0.14 + -0.01x = -6.02(2 + -1x) 0.14 + -0.01x = (2 * -6.02 + -1x * -6.02) 0.14 + -0.01x = (-12.04 + 6.02x) Solving 0.14 + -0.01x = -12.04 + 6.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.02x' to each side of the equation. 0.14 + -0.01x + -6.02x = -12.04 + 6.02x + -6.02x Combine like terms: -0.01x + -6.02x = -6.03x 0.14 + -6.03x = -12.04 + 6.02x + -6.02x Combine like terms: 6.02x + -6.02x = 0.00 0.14 + -6.03x = -12.04 + 0.00 0.14 + -6.03x = -12.04 Add '-0.14' to each side of the equation. 0.14 + -0.14 + -6.03x = -12.04 + -0.14 Combine like terms: 0.14 + -0.14 = 0.00 0.00 + -6.03x = -12.04 + -0.14 -6.03x = -12.04 + -0.14 Combine like terms: -12.04 + -0.14 = -12.18 -6.03x = -12.18 Divide each side by '-6.03'. x = 2.019900498 Simplifying x = 2.019900498
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