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Simplifying x = 0.50x + -1(0.40x + 70) Reorder the terms: x = 0.50x + -1(70 + 0.40x) x = 0.50x + (70 * -1 + 0.40x * -1) x = 0.50x + (-70 + -0.4x) Reorder the terms: x = -70 + 0.50x + -0.4x Combine like terms: 0.50x + -0.4x = 0.1x x = -70 + 0.1x Solving x = -70 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. x + -0.1x = -70 + 0.1x + -0.1x Combine like terms: x + -0.1x = 0.9x 0.9x = -70 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 0.9x = -70 + 0.0 0.9x = -70 Divide each side by '0.9'. x = -77.77777778 Simplifying x = -77.77777778
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