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Simplifying x + -0.1 + 0.6(x + -0.1x) = 70.79 Combine like terms: x + -0.1x = 0.9x x + -0.1 + 0.6(0.9x) = 70.79 Remove parenthesis around (0.9x) x + -0.1 + 0.6 * 0.9x = 70.79 Multiply 0.6 * 0.9 x + -0.1 + 0.54x = 70.79 Reorder the terms: -0.1 + x + 0.54x = 70.79 Combine like terms: x + 0.54x = 1.54x -0.1 + 1.54x = 70.79 Solving -0.1 + 1.54x = 70.79 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1' to each side of the equation. -0.1 + 0.1 + 1.54x = 70.79 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 1.54x = 70.79 + 0.1 1.54x = 70.79 + 0.1 Combine like terms: 70.79 + 0.1 = 70.89 1.54x = 70.89 Divide each side by '1.54'. x = 46.03246753 Simplifying x = 46.03246753
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