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Simplifying 0.891(0.7 + -1x) = 0.5 + x (0.7 * 0.891 + -1x * 0.891) = 0.5 + x (0.6237 + -0.891x) = 0.5 + x Solving 0.6237 + -0.891x = 0.5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 0.6237 + -0.891x + -1x = 0.5 + x + -1x Combine like terms: -0.891x + -1x = -1.891x 0.6237 + -1.891x = 0.5 + x + -1x Combine like terms: x + -1x = 0 0.6237 + -1.891x = 0.5 + 0 0.6237 + -1.891x = 0.5 Add '-0.6237' to each side of the equation. 0.6237 + -0.6237 + -1.891x = 0.5 + -0.6237 Combine like terms: 0.6237 + -0.6237 = 0.0000 0.0000 + -1.891x = 0.5 + -0.6237 -1.891x = 0.5 + -0.6237 Combine like terms: 0.5 + -0.6237 = -0.1237 -1.891x = -0.1237 Divide each side by '-1.891'. x = 0.06541512427 Simplifying x = 0.06541512427
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