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Simplifying x + -6 = 10(2 + -4x) * 5 Reorder the terms: -6 + x = 10(2 + -4x) * 5 Reorder the terms for easier multiplication: -6 + x = 10 * 5(2 + -4x) Multiply 10 * 5 -6 + x = 50(2 + -4x) -6 + x = (2 * 50 + -4x * 50) -6 + x = (100 + -200x) Solving -6 + x = 100 + -200x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '200x' to each side of the equation. -6 + x + 200x = 100 + -200x + 200x Combine like terms: x + 200x = 201x -6 + 201x = 100 + -200x + 200x Combine like terms: -200x + 200x = 0 -6 + 201x = 100 + 0 -6 + 201x = 100 Add '6' to each side of the equation. -6 + 6 + 201x = 100 + 6 Combine like terms: -6 + 6 = 0 0 + 201x = 100 + 6 201x = 100 + 6 Combine like terms: 100 + 6 = 106 201x = 106 Divide each side by '201'. x = 0.5273631841 Simplifying x = 0.5273631841
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