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Simplifying 0.11 + -0.2(x + 1) = 0.03(2 + -1x) Reorder the terms: 0.11 + -0.2(1 + x) = 0.03(2 + -1x) 0.11 + (1 * -0.2 + x * -0.2) = 0.03(2 + -1x) 0.11 + (-0.2 + -0.2x) = 0.03(2 + -1x) Combine like terms: 0.11 + -0.2 = -0.09 -0.09 + -0.2x = 0.03(2 + -1x) -0.09 + -0.2x = (2 * 0.03 + -1x * 0.03) -0.09 + -0.2x = (0.06 + -0.03x) Solving -0.09 + -0.2x = 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. -0.09 + -0.2x + 0.03x = 0.06 + -0.03x + 0.03x Combine like terms: -0.2x + 0.03x = -0.17x -0.09 + -0.17x = 0.06 + -0.03x + 0.03x Combine like terms: -0.03x + 0.03x = 0.00 -0.09 + -0.17x = 0.06 + 0.00 -0.09 + -0.17x = 0.06 Add '0.09' to each side of the equation. -0.09 + 0.09 + -0.17x = 0.06 + 0.09 Combine like terms: -0.09 + 0.09 = 0.00 0.00 + -0.17x = 0.06 + 0.09 -0.17x = 0.06 + 0.09 Combine like terms: 0.06 + 0.09 = 0.15 -0.17x = 0.15 Divide each side by '-0.17'. x = -0.8823529412 Simplifying x = -0.8823529412
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