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Simplifying x + -0.30x + 0.08(x + -0.30x) + 2 = 0 Combine like terms: x + -0.30x = 0.7x x + -0.30x + 0.08(0.7x) + 2 = 0 Remove parenthesis around (0.7x) x + -0.30x + 0.08 * 0.7x + 2 = 0 Multiply 0.08 * 0.7 x + -0.30x + 0.056x + 2 = 0 Reorder the terms: 2 + x + -0.30x + 0.056x = 0 Combine like terms: x + -0.30x = 0.7x 2 + 0.7x + 0.056x = 0 Combine like terms: 0.7x + 0.056x = 0.756x 2 + 0.756x = 0 Solving 2 + 0.756x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 0.756x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 0.756x = 0 + -2 0.756x = 0 + -2 Combine like terms: 0 + -2 = -2 0.756x = -2 Divide each side by '0.756'. x = -2.645502646 Simplifying x = -2.645502646
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