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Simplifying 0.07 + -0.01(x + 1) = 0.03(2 + -1x) Reorder the terms: 0.07 + -0.01(1 + x) = 0.03(2 + -1x) 0.07 + (1 * -0.01 + x * -0.01) = 0.03(2 + -1x) 0.07 + (-0.01 + -0.01x) = 0.03(2 + -1x) Combine like terms: 0.07 + -0.01 = 0.06 0.06 + -0.01x = 0.03(2 + -1x) 0.06 + -0.01x = (2 * 0.03 + -1x * 0.03) 0.06 + -0.01x = (0.06 + -0.03x) Add '-0.06' to each side of the equation. 0.06 + -0.06 + -0.01x = 0.06 + -0.06 + -0.03x Combine like terms: 0.06 + -0.06 = 0.00 0.00 + -0.01x = 0.06 + -0.06 + -0.03x -0.01x = 0.06 + -0.06 + -0.03x Combine like terms: 0.06 + -0.06 = 0.00 -0.01x = 0.00 + -0.03x -0.01x = -0.03x Solving -0.01x = -0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.03x' to each side of the equation. -0.01x + 0.03x = -0.03x + 0.03x Combine like terms: -0.01x + 0.03x = 0.02x 0.02x = -0.03x + 0.03x Combine like terms: -0.03x + 0.03x = 0.00 0.02x = 0.00 Divide each side by '0.02'. x = 0 Simplifying x = 0
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