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Simplifying 0.11 + -0.1(x + 1) = -0.03(2 + -1x) Reorder the terms: 0.11 + -0.1(1 + x) = -0.03(2 + -1x) 0.11 + (1 * -0.1 + x * -0.1) = -0.03(2 + -1x) 0.11 + (-0.1 + -0.1x) = -0.03(2 + -1x) Combine like terms: 0.11 + -0.1 = 0.01 0.01 + -0.1x = -0.03(2 + -1x) 0.01 + -0.1x = (2 * -0.03 + -1x * -0.03) 0.01 + -0.1x = (-0.06 + 0.03x) Solving 0.01 + -0.1x = -0.06 + 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. 0.01 + -0.1x + -0.03x = -0.06 + 0.03x + -0.03x Combine like terms: -0.1x + -0.03x = -0.13x 0.01 + -0.13x = -0.06 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 0.01 + -0.13x = -0.06 + 0.00 0.01 + -0.13x = -0.06 Add '-0.01' to each side of the equation. 0.01 + -0.01 + -0.13x = -0.06 + -0.01 Combine like terms: 0.01 + -0.01 = 0.00 0.00 + -0.13x = -0.06 + -0.01 -0.13x = -0.06 + -0.01 Combine like terms: -0.06 + -0.01 = -0.07 -0.13x = -0.07 Divide each side by '-0.13'. x = 0.5384615385 Simplifying x = 0.5384615385
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