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Simplifying x + -0.1 + 0.07(x + -0.1x) = 69.62 Combine like terms: x + -0.1x = 0.9x x + -0.1 + 0.07(0.9x) = 69.62 Remove parenthesis around (0.9x) x + -0.1 + 0.07 * 0.9x = 69.62 Multiply 0.07 * 0.9 x + -0.1 + 0.063x = 69.62 Reorder the terms: -0.1 + x + 0.063x = 69.62 Combine like terms: x + 0.063x = 1.063x -0.1 + 1.063x = 69.62 Solving -0.1 + 1.063x = 69.62 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 + 1.063x = 69.62 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 1.063x = 69.62 + 0.1 1.063x = 69.62 + 0.1 Combine like terms: 69.62 + 0.1 = 69.72 1.063x = 69.72 Divide each side by '1.063'. x = 65.58795861 Simplifying x = 65.58795861
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