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Simplifying 13x + 192 + 4x + -269 = 4x + 13 + 2x + 42 Reorder the terms: 192 + -269 + 13x + 4x = 4x + 13 + 2x + 42 Combine like terms: 192 + -269 = -77 -77 + 13x + 4x = 4x + 13 + 2x + 42 Combine like terms: 13x + 4x = 17x -77 + 17x = 4x + 13 + 2x + 42 Reorder the terms: -77 + 17x = 13 + 42 + 4x + 2x Combine like terms: 13 + 42 = 55 -77 + 17x = 55 + 4x + 2x Combine like terms: 4x + 2x = 6x -77 + 17x = 55 + 6x Solving -77 + 17x = 55 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -77 + 17x + -6x = 55 + 6x + -6x Combine like terms: 17x + -6x = 11x -77 + 11x = 55 + 6x + -6x Combine like terms: 6x + -6x = 0 -77 + 11x = 55 + 0 -77 + 11x = 55 Add '77' to each side of the equation. -77 + 77 + 11x = 55 + 77 Combine like terms: -77 + 77 = 0 0 + 11x = 55 + 77 11x = 55 + 77 Combine like terms: 55 + 77 = 132 11x = 132 Divide each side by '11'. x = 12 Simplifying x = 12
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