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Simplifying 0.16 * 0.01(x + 1) = -0.03(3 + -1x) Reorder the terms: 0.16 * 0.01(1 + x) = -0.03(3 + -1x) Multiply 0.16 * 0.01 0.0016(1 + x) = -0.03(3 + -1x) (1 * 0.0016 + x * 0.0016) = -0.03(3 + -1x) (0.0016 + 0.0016x) = -0.03(3 + -1x) 0.0016 + 0.0016x = (3 * -0.03 + -1x * -0.03) 0.0016 + 0.0016x = (-0.09 + 0.03x) Solving 0.0016 + 0.0016x = -0.09 + 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. 0.0016 + 0.0016x + -0.03x = -0.09 + 0.03x + -0.03x Combine like terms: 0.0016x + -0.03x = -0.0284x 0.0016 + -0.0284x = -0.09 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 0.0016 + -0.0284x = -0.09 + 0.00 0.0016 + -0.0284x = -0.09 Add '-0.0016' to each side of the equation. 0.0016 + -0.0016 + -0.0284x = -0.09 + -0.0016 Combine like terms: 0.0016 + -0.0016 = 0.0000 0.0000 + -0.0284x = -0.09 + -0.0016 -0.0284x = -0.09 + -0.0016 Combine like terms: -0.09 + -0.0016 = -0.0916 -0.0284x = -0.0916 Divide each side by '-0.0284'. x = 3.225352113 Simplifying x = 3.225352113
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