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Simplifying 6x + 36 + -2x + 45 = 3x + 88 + -8x + 47 Reorder the terms: 36 + 45 + 6x + -2x = 3x + 88 + -8x + 47 Combine like terms: 36 + 45 = 81 81 + 6x + -2x = 3x + 88 + -8x + 47 Combine like terms: 6x + -2x = 4x 81 + 4x = 3x + 88 + -8x + 47 Reorder the terms: 81 + 4x = 88 + 47 + 3x + -8x Combine like terms: 88 + 47 = 135 81 + 4x = 135 + 3x + -8x Combine like terms: 3x + -8x = -5x 81 + 4x = 135 + -5x Solving 81 + 4x = 135 + -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. 81 + 4x + 5x = 135 + -5x + 5x Combine like terms: 4x + 5x = 9x 81 + 9x = 135 + -5x + 5x Combine like terms: -5x + 5x = 0 81 + 9x = 135 + 0 81 + 9x = 135 Add '-81' to each side of the equation. 81 + -81 + 9x = 135 + -81 Combine like terms: 81 + -81 = 0 0 + 9x = 135 + -81 9x = 135 + -81 Combine like terms: 135 + -81 = 54 9x = 54 Divide each side by '9'. x = 6 Simplifying x = 6
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