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Simplifying 6(15 + -6x) + 11(4x + -8) = 25 (15 * 6 + -6x * 6) + 11(4x + -8) = 25 (90 + -36x) + 11(4x + -8) = 25 Reorder the terms: 90 + -36x + 11(-8 + 4x) = 25 90 + -36x + (-8 * 11 + 4x * 11) = 25 90 + -36x + (-88 + 44x) = 25 Reorder the terms: 90 + -88 + -36x + 44x = 25 Combine like terms: 90 + -88 = 2 2 + -36x + 44x = 25 Combine like terms: -36x + 44x = 8x 2 + 8x = 25 Solving 2 + 8x = 25 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 + 8x = 25 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 25 + -2 8x = 25 + -2 Combine like terms: 25 + -2 = 23 8x = 23 Divide each side by '8'. x = 2.875 Simplifying x = 2.875
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