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Simplifying 0.029x + -20 = 0.06 + -0.01(x + 1) Reorder the terms: -20 + 0.029x = 0.06 + -0.01(x + 1) Reorder the terms: -20 + 0.029x = 0.06 + -0.01(1 + x) -20 + 0.029x = 0.06 + (1 * -0.01 + x * -0.01) -20 + 0.029x = 0.06 + (-0.01 + -0.01x) Combine like terms: 0.06 + -0.01 = 0.05 -20 + 0.029x = 0.05 + -0.01x Solving -20 + 0.029x = 0.05 + -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. -20 + 0.029x + 0.01x = 0.05 + -0.01x + 0.01x Combine like terms: 0.029x + 0.01x = 0.039x -20 + 0.039x = 0.05 + -0.01x + 0.01x Combine like terms: -0.01x + 0.01x = 0.00 -20 + 0.039x = 0.05 + 0.00 -20 + 0.039x = 0.05 Add '20' to each side of the equation. -20 + 20 + 0.039x = 0.05 + 20 Combine like terms: -20 + 20 = 0 0 + 0.039x = 0.05 + 20 0.039x = 0.05 + 20 Combine like terms: 0.05 + 20 = 20.05 0.039x = 20.05 Divide each side by '0.039'. x = 514.1025641 Simplifying x = 514.1025641
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