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Simplifying 13 + 8x + 14 = 52 + 9x + 3x Reorder the terms: 13 + 14 + 8x = 52 + 9x + 3x Combine like terms: 13 + 14 = 27 27 + 8x = 52 + 9x + 3x Combine like terms: 9x + 3x = 12x 27 + 8x = 52 + 12x Solving 27 + 8x = 52 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 27 + 8x + -12x = 52 + 12x + -12x Combine like terms: 8x + -12x = -4x 27 + -4x = 52 + 12x + -12x Combine like terms: 12x + -12x = 0 27 + -4x = 52 + 0 27 + -4x = 52 Add '-27' to each side of the equation. 27 + -27 + -4x = 52 + -27 Combine like terms: 27 + -27 = 0 0 + -4x = 52 + -27 -4x = 52 + -27 Combine like terms: 52 + -27 = 25 -4x = 25 Divide each side by '-4'. x = -6.25 Simplifying x = -6.25
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