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Simplifying 3x + 14 + 8x + -90 = 4x + 11 + x + 27 Reorder the terms: 14 + -90 + 3x + 8x = 4x + 11 + x + 27 Combine like terms: 14 + -90 = -76 -76 + 3x + 8x = 4x + 11 + x + 27 Combine like terms: 3x + 8x = 11x -76 + 11x = 4x + 11 + x + 27 Reorder the terms: -76 + 11x = 11 + 27 + 4x + x Combine like terms: 11 + 27 = 38 -76 + 11x = 38 + 4x + x Combine like terms: 4x + x = 5x -76 + 11x = 38 + 5x Solving -76 + 11x = 38 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -76 + 11x + -5x = 38 + 5x + -5x Combine like terms: 11x + -5x = 6x -76 + 6x = 38 + 5x + -5x Combine like terms: 5x + -5x = 0 -76 + 6x = 38 + 0 -76 + 6x = 38 Add '76' to each side of the equation. -76 + 76 + 6x = 38 + 76 Combine like terms: -76 + 76 = 0 0 + 6x = 38 + 76 6x = 38 + 76 Combine like terms: 38 + 76 = 114 6x = 114 Divide each side by '6'. x = 19 Simplifying x = 19
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