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Simplifying -0.17x + 0.2(x + -2) = -0.27(1 + -1x) Reorder the terms: -0.17x + 0.2(-2 + x) = -0.27(1 + -1x) -0.17x + (-2 * 0.2 + x * 0.2) = -0.27(1 + -1x) -0.17x + (-0.4 + 0.2x) = -0.27(1 + -1x) Reorder the terms: -0.4 + -0.17x + 0.2x = -0.27(1 + -1x) Combine like terms: -0.17x + 0.2x = 0.03x -0.4 + 0.03x = -0.27(1 + -1x) -0.4 + 0.03x = (1 * -0.27 + -1x * -0.27) -0.4 + 0.03x = (-0.27 + 0.27x) Solving -0.4 + 0.03x = -0.27 + 0.27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.27x' to each side of the equation. -0.4 + 0.03x + -0.27x = -0.27 + 0.27x + -0.27x Combine like terms: 0.03x + -0.27x = -0.24x -0.4 + -0.24x = -0.27 + 0.27x + -0.27x Combine like terms: 0.27x + -0.27x = 0.00 -0.4 + -0.24x = -0.27 + 0.00 -0.4 + -0.24x = -0.27 Add '0.4' to each side of the equation. -0.4 + 0.4 + -0.24x = -0.27 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + -0.24x = -0.27 + 0.4 -0.24x = -0.27 + 0.4 Combine like terms: -0.27 + 0.4 = 0.13 -0.24x = 0.13 Divide each side by '-0.24'. x = -0.5416666667 Simplifying x = -0.5416666667
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