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Simplifying 2x + 5 + -8x + 11 = 7(x + 6) + 9(12 + 6x) Reorder the terms: 5 + 11 + 2x + -8x = 7(x + 6) + 9(12 + 6x) Combine like terms: 5 + 11 = 16 16 + 2x + -8x = 7(x + 6) + 9(12 + 6x) Combine like terms: 2x + -8x = -6x 16 + -6x = 7(x + 6) + 9(12 + 6x) Reorder the terms: 16 + -6x = 7(6 + x) + 9(12 + 6x) 16 + -6x = (6 * 7 + x * 7) + 9(12 + 6x) 16 + -6x = (42 + 7x) + 9(12 + 6x) 16 + -6x = 42 + 7x + (12 * 9 + 6x * 9) 16 + -6x = 42 + 7x + (108 + 54x) Reorder the terms: 16 + -6x = 42 + 108 + 7x + 54x Combine like terms: 42 + 108 = 150 16 + -6x = 150 + 7x + 54x Combine like terms: 7x + 54x = 61x 16 + -6x = 150 + 61x Solving 16 + -6x = 150 + 61x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-61x' to each side of the equation. 16 + -6x + -61x = 150 + 61x + -61x Combine like terms: -6x + -61x = -67x 16 + -67x = 150 + 61x + -61x Combine like terms: 61x + -61x = 0 16 + -67x = 150 + 0 16 + -67x = 150 Add '-16' to each side of the equation. 16 + -16 + -67x = 150 + -16 Combine like terms: 16 + -16 = 0 0 + -67x = 150 + -16 -67x = 150 + -16 Combine like terms: 150 + -16 = 134 -67x = 134 Divide each side by '-67'. x = -2 Simplifying x = -2
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