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Simplifying -6(-48x + -11) = -25(-8 + -6x) Reorder the terms: -6(-11 + -48x) = -25(-8 + -6x) (-11 * -6 + -48x * -6) = -25(-8 + -6x) (66 + 288x) = -25(-8 + -6x) 66 + 288x = (-8 * -25 + -6x * -25) 66 + 288x = (200 + 150x) Solving 66 + 288x = 200 + 150x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-150x' to each side of the equation. 66 + 288x + -150x = 200 + 150x + -150x Combine like terms: 288x + -150x = 138x 66 + 138x = 200 + 150x + -150x Combine like terms: 150x + -150x = 0 66 + 138x = 200 + 0 66 + 138x = 200 Add '-66' to each side of the equation. 66 + -66 + 138x = 200 + -66 Combine like terms: 66 + -66 = 0 0 + 138x = 200 + -66 138x = 200 + -66 Combine like terms: 200 + -66 = 134 138x = 134 Divide each side by '138'. x = 0.9710144928 Simplifying x = 0.9710144928
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