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Simplifying 18x + 16 = 8 + 12x + -8 + -13 + 25x + -9 + 100 + -25x Reorder the terms: 16 + 18x = 8 + 12x + -8 + -13 + 25x + -9 + 100 + -25x Reorder the terms: 16 + 18x = 8 + -8 + -13 + -9 + 100 + 12x + 25x + -25x Combine like terms: 8 + -8 = 0 16 + 18x = 0 + -13 + -9 + 100 + 12x + 25x + -25x 16 + 18x = -13 + -9 + 100 + 12x + 25x + -25x Combine like terms: -13 + -9 = -22 16 + 18x = -22 + 100 + 12x + 25x + -25x Combine like terms: -22 + 100 = 78 16 + 18x = 78 + 12x + 25x + -25x Combine like terms: 12x + 25x = 37x 16 + 18x = 78 + 37x + -25x Combine like terms: 37x + -25x = 12x 16 + 18x = 78 + 12x Solving 16 + 18x = 78 + 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. 16 + 18x + -12x = 78 + 12x + -12x Combine like terms: 18x + -12x = 6x 16 + 6x = 78 + 12x + -12x Combine like terms: 12x + -12x = 0 16 + 6x = 78 + 0 16 + 6x = 78 Add '-16' to each side of the equation. 16 + -16 + 6x = 78 + -16 Combine like terms: 16 + -16 = 0 0 + 6x = 78 + -16 6x = 78 + -16 Combine like terms: 78 + -16 = 62 6x = 62 Divide each side by '6'. x = 10.33333333 Simplifying x = 10.33333333
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