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Simplifying 0.09 + -0.01(x + 1) = -0.03(4 + -1) Reorder the terms: 0.09 + -0.01(1 + x) = -0.03(4 + -1) 0.09 + (1 * -0.01 + x * -0.01) = -0.03(4 + -1) 0.09 + (-0.01 + -0.01x) = -0.03(4 + -1) Combine like terms: 0.09 + -0.01 = 0.08 0.08 + -0.01x = -0.03(4 + -1) Combine like terms: 4 + -1 = 3 0.08 + -0.01x = -0.03(3) Multiply -0.03 * 3 0.08 + -0.01x = -0.09 Solving 0.08 + -0.01x = -0.09 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.08' to each side of the equation. 0.08 + -0.08 + -0.01x = -0.09 + -0.08 Combine like terms: 0.08 + -0.08 = 0.00 0.00 + -0.01x = -0.09 + -0.08 -0.01x = -0.09 + -0.08 Combine like terms: -0.09 + -0.08 = -0.17 -0.01x = -0.17 Divide each side by '-0.01'. x = 17 Simplifying x = 17
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