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Simplifying 0.11 + -0.1(x + 2) = -0.2(3 + -1x) Reorder the terms: 0.11 + -0.1(2 + x) = -0.2(3 + -1x) 0.11 + (2 * -0.1 + x * -0.1) = -0.2(3 + -1x) 0.11 + (-0.2 + -0.1x) = -0.2(3 + -1x) Combine like terms: 0.11 + -0.2 = -0.09 -0.09 + -0.1x = -0.2(3 + -1x) -0.09 + -0.1x = (3 * -0.2 + -1x * -0.2) -0.09 + -0.1x = (-0.6 + 0.2x) Solving -0.09 + -0.1x = -0.6 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -0.09 + -0.1x + -0.2x = -0.6 + 0.2x + -0.2x Combine like terms: -0.1x + -0.2x = -0.3x -0.09 + -0.3x = -0.6 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -0.09 + -0.3x = -0.6 + 0.0 -0.09 + -0.3x = -0.6 Add '0.09' to each side of the equation. -0.09 + 0.09 + -0.3x = -0.6 + 0.09 Combine like terms: -0.09 + 0.09 = 0.00 0.00 + -0.3x = -0.6 + 0.09 -0.3x = -0.6 + 0.09 Combine like terms: -0.6 + 0.09 = -0.51 -0.3x = -0.51 Divide each side by '-0.3'. x = 1.7 Simplifying x = 1.7
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