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Simplifying 0.11 + -101(x + 1) = -0.02(4 + -1x) Reorder the terms: 0.11 + -101(1 + x) = -0.02(4 + -1x) 0.11 + (1 * -101 + x * -101) = -0.02(4 + -1x) 0.11 + (-101 + -101x) = -0.02(4 + -1x) Combine like terms: 0.11 + -101 = -100.89 -100.89 + -101x = -0.02(4 + -1x) -100.89 + -101x = (4 * -0.02 + -1x * -0.02) -100.89 + -101x = (-0.08 + 0.02x) Solving -100.89 + -101x = -0.08 + 0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.02x' to each side of the equation. -100.89 + -101x + -0.02x = -0.08 + 0.02x + -0.02x Combine like terms: -101x + -0.02x = -101.02x -100.89 + -101.02x = -0.08 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -100.89 + -101.02x = -0.08 + 0.00 -100.89 + -101.02x = -0.08 Add '100.89' to each side of the equation. -100.89 + 100.89 + -101.02x = -0.08 + 100.89 Combine like terms: -100.89 + 100.89 = 0.00 0.00 + -101.02x = -0.08 + 100.89 -101.02x = -0.08 + 100.89 Combine like terms: -0.08 + 100.89 = 100.81 -101.02x = 100.81 Divide each side by '-101.02'. x = -0.9979212037 Simplifying x = -0.9979212037
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