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Simplifying 5x + 3x + 6 + 2 = 48 + -1x + -14 + -2x Reorder the terms: 6 + 2 + 5x + 3x = 48 + -1x + -14 + -2x Combine like terms: 6 + 2 = 8 8 + 5x + 3x = 48 + -1x + -14 + -2x Combine like terms: 5x + 3x = 8x 8 + 8x = 48 + -1x + -14 + -2x Reorder the terms: 8 + 8x = 48 + -14 + -1x + -2x Combine like terms: 48 + -14 = 34 8 + 8x = 34 + -1x + -2x Combine like terms: -1x + -2x = -3x 8 + 8x = 34 + -3x Solving 8 + 8x = 34 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 8 + 8x + 3x = 34 + -3x + 3x Combine like terms: 8x + 3x = 11x 8 + 11x = 34 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 11x = 34 + 0 8 + 11x = 34 Add '-8' to each side of the equation. 8 + -8 + 11x = 34 + -8 Combine like terms: 8 + -8 = 0 0 + 11x = 34 + -8 11x = 34 + -8 Combine like terms: 34 + -8 = 26 11x = 26 Divide each side by '11'. x = 2.363636364 Simplifying x = 2.363636364
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