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Simplifying -0.14x + 0.1(x + -2) = -0.24(1 + -1x) Reorder the terms: -0.14x + 0.1(-2 + x) = -0.24(1 + -1x) -0.14x + (-2 * 0.1 + x * 0.1) = -0.24(1 + -1x) -0.14x + (-0.2 + 0.1x) = -0.24(1 + -1x) Reorder the terms: -0.2 + -0.14x + 0.1x = -0.24(1 + -1x) Combine like terms: -0.14x + 0.1x = -0.04x -0.2 + -0.04x = -0.24(1 + -1x) -0.2 + -0.04x = (1 * -0.24 + -1x * -0.24) -0.2 + -0.04x = (-0.24 + 0.24x) Solving -0.2 + -0.04x = -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. -0.2 + -0.04x + -0.24x = -0.24 + 0.24x + -0.24x Combine like terms: -0.04x + -0.24x = -0.28x -0.2 + -0.28x = -0.24 + 0.24x + -0.24x Combine like terms: 0.24x + -0.24x = 0.00 -0.2 + -0.28x = -0.24 + 0.00 -0.2 + -0.28x = -0.24 Add '0.2' to each side of the equation. -0.2 + 0.2 + -0.28x = -0.24 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + -0.28x = -0.24 + 0.2 -0.28x = -0.24 + 0.2 Combine like terms: -0.24 + 0.2 = -0.04 -0.28x = -0.04 Divide each side by '-0.28'. x = 0.1428571429 Simplifying x = 0.1428571429
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