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Simplifying x + -92 = 8(2x + 3) + -11 Reorder the terms: -92 + x = 8(2x + 3) + -11 Reorder the terms: -92 + x = 8(3 + 2x) + -11 -92 + x = (3 * 8 + 2x * 8) + -11 -92 + x = (24 + 16x) + -11 Reorder the terms: -92 + x = 24 + -11 + 16x Combine like terms: 24 + -11 = 13 -92 + x = 13 + 16x Solving -92 + x = 13 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -92 + x + -16x = 13 + 16x + -16x Combine like terms: x + -16x = -15x -92 + -15x = 13 + 16x + -16x Combine like terms: 16x + -16x = 0 -92 + -15x = 13 + 0 -92 + -15x = 13 Add '92' to each side of the equation. -92 + 92 + -15x = 13 + 92 Combine like terms: -92 + 92 = 0 0 + -15x = 13 + 92 -15x = 13 + 92 Combine like terms: 13 + 92 = 105 -15x = 105 Divide each side by '-15'. x = -7 Simplifying x = -7
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