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Simplifying 0.16 + -0.01(x + 3) = -0.31(1 + -1x) Reorder the terms: 0.16 + -0.01(3 + x) = -0.31(1 + -1x) 0.16 + (3 * -0.01 + x * -0.01) = -0.31(1 + -1x) 0.16 + (-0.03 + -0.01x) = -0.31(1 + -1x) Combine like terms: 0.16 + -0.03 = 0.13 0.13 + -0.01x = -0.31(1 + -1x) 0.13 + -0.01x = (1 * -0.31 + -1x * -0.31) 0.13 + -0.01x = (-0.31 + 0.31x) Solving 0.13 + -0.01x = -0.31 + 0.31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.31x' to each side of the equation. 0.13 + -0.01x + -0.31x = -0.31 + 0.31x + -0.31x Combine like terms: -0.01x + -0.31x = -0.32x 0.13 + -0.32x = -0.31 + 0.31x + -0.31x Combine like terms: 0.31x + -0.31x = 0.00 0.13 + -0.32x = -0.31 + 0.00 0.13 + -0.32x = -0.31 Add '-0.13' to each side of the equation. 0.13 + -0.13 + -0.32x = -0.31 + -0.13 Combine like terms: 0.13 + -0.13 = 0.00 0.00 + -0.32x = -0.31 + -0.13 -0.32x = -0.31 + -0.13 Combine like terms: -0.31 + -0.13 = -0.44 -0.32x = -0.44 Divide each side by '-0.32'. x = 1.375 Simplifying x = 1.375
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