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Simplifying -0.14 + 0.1(x + -2) = -0.24(1 + -1x) Reorder the terms: -0.14 + 0.1(-2 + x) = -0.24(1 + -1x) -0.14 + (-2 * 0.1 + x * 0.1) = -0.24(1 + -1x) -0.14 + (-0.2 + 0.1x) = -0.24(1 + -1x) Combine like terms: -0.14 + -0.2 = -0.34 -0.34 + 0.1x = -0.24(1 + -1x) -0.34 + 0.1x = (1 * -0.24 + -1x * -0.24) -0.34 + 0.1x = (-0.24 + 0.24x) Solving -0.34 + 0.1x = -0.24 + 0.24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.24x' to each side of the equation. -0.34 + 0.1x + -0.24x = -0.24 + 0.24x + -0.24x Combine like terms: 0.1x + -0.24x = -0.14x -0.34 + -0.14x = -0.24 + 0.24x + -0.24x Combine like terms: 0.24x + -0.24x = 0.00 -0.34 + -0.14x = -0.24 + 0.00 -0.34 + -0.14x = -0.24 Add '0.34' to each side of the equation. -0.34 + 0.34 + -0.14x = -0.24 + 0.34 Combine like terms: -0.34 + 0.34 = 0.00 0.00 + -0.14x = -0.24 + 0.34 -0.14x = -0.24 + 0.34 Combine like terms: -0.24 + 0.34 = 0.1 -0.14x = 0.1 Divide each side by '-0.14'. x = -0.7142857143 Simplifying x = -0.7142857143
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