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Simplifying 11(1 + -9x) + 5 = 8(2x + 2) + -1x (1 * 11 + -9x * 11) + 5 = 8(2x + 2) + -1x (11 + -99x) + 5 = 8(2x + 2) + -1x Reorder the terms: 11 + 5 + -99x = 8(2x + 2) + -1x Combine like terms: 11 + 5 = 16 16 + -99x = 8(2x + 2) + -1x Reorder the terms: 16 + -99x = 8(2 + 2x) + -1x 16 + -99x = (2 * 8 + 2x * 8) + -1x 16 + -99x = (16 + 16x) + -1x Combine like terms: 16x + -1x = 15x 16 + -99x = 16 + 15x Add '-16' to each side of the equation. 16 + -16 + -99x = 16 + -16 + 15x Combine like terms: 16 + -16 = 0 0 + -99x = 16 + -16 + 15x -99x = 16 + -16 + 15x Combine like terms: 16 + -16 = 0 -99x = 0 + 15x -99x = 15x Solving -99x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -99x + -15x = 15x + -15x Combine like terms: -99x + -15x = -114x -114x = 15x + -15x Combine like terms: 15x + -15x = 0 -114x = 0 Divide each side by '-114'. x = 0 Simplifying x = 0
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