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Simplifying 0.11 + -0.01(x + 2) = -0.023(3 + -1x) Reorder the terms: 0.11 + -0.01(2 + x) = -0.023(3 + -1x) 0.11 + (2 * -0.01 + x * -0.01) = -0.023(3 + -1x) 0.11 + (-0.02 + -0.01x) = -0.023(3 + -1x) Combine like terms: 0.11 + -0.02 = 0.09 0.09 + -0.01x = -0.023(3 + -1x) 0.09 + -0.01x = (3 * -0.023 + -1x * -0.023) 0.09 + -0.01x = (-0.069 + 0.023x) Solving 0.09 + -0.01x = -0.069 + 0.023x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.023x' to each side of the equation. 0.09 + -0.01x + -0.023x = -0.069 + 0.023x + -0.023x Combine like terms: -0.01x + -0.023x = -0.033x 0.09 + -0.033x = -0.069 + 0.023x + -0.023x Combine like terms: 0.023x + -0.023x = 0.000 0.09 + -0.033x = -0.069 + 0.000 0.09 + -0.033x = -0.069 Add '-0.09' to each side of the equation. 0.09 + -0.09 + -0.033x = -0.069 + -0.09 Combine like terms: 0.09 + -0.09 = 0.00 0.00 + -0.033x = -0.069 + -0.09 -0.033x = -0.069 + -0.09 Combine like terms: -0.069 + -0.09 = -0.159 -0.033x = -0.159 Divide each side by '-0.033'. x = 4.818181818 Simplifying x = 4.818181818
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