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Simplifying 0.125x + 6 = 0.0652(2x + -96) Reorder the terms: 6 + 0.125x = 0.0652(2x + -96) Reorder the terms: 6 + 0.125x = 0.0652(-96 + 2x) 6 + 0.125x = (-96 * 0.0652 + 2x * 0.0652) 6 + 0.125x = (-6.2592 + 0.1304x) Solving 6 + 0.125x = -6.2592 + 0.1304x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1304x' to each side of the equation. 6 + 0.125x + -0.1304x = -6.2592 + 0.1304x + -0.1304x Combine like terms: 0.125x + -0.1304x = -0.0054x 6 + -0.0054x = -6.2592 + 0.1304x + -0.1304x Combine like terms: 0.1304x + -0.1304x = 0.0000 6 + -0.0054x = -6.2592 + 0.0000 6 + -0.0054x = -6.2592 Add '-6' to each side of the equation. 6 + -6 + -0.0054x = -6.2592 + -6 Combine like terms: 6 + -6 = 0 0 + -0.0054x = -6.2592 + -6 -0.0054x = -6.2592 + -6 Combine like terms: -6.2592 + -6 = -12.2592 -0.0054x = -12.2592 Divide each side by '-0.0054'. x = 2270.222222 Simplifying x = 2270.222222
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