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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 = 16 16 + 18x = 16 + -13 + -9 + 100 + 12x + 25x + -25x Combine like terms: 16 + -13 = 3 16 + 18x = 3 + -9 + 100 + 12x + 25x + -25x Combine like terms: 3 + -9 = -6 16 + 18x = -6 + 100 + 12x + 25x + -25x Combine like terms: -6 + 100 = 94 16 + 18x = 94 + 12x + 25x + -25x Combine like terms: 12x + 25x = 37x 16 + 18x = 94 + 37x + -25x Combine like terms: 37x + -25x = 12x 16 + 18x = 94 + 12x Solving 16 + 18x = 94 + 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 = 94 + 12x + -12x Combine like terms: 18x + -12x = 6x 16 + 6x = 94 + 12x + -12x Combine like terms: 12x + -12x = 0 16 + 6x = 94 + 0 16 + 6x = 94 Add '-16' to each side of the equation. 16 + -16 + 6x = 94 + -16 Combine like terms: 16 + -16 = 0 0 + 6x = 94 + -16 6x = 94 + -16 Combine like terms: 94 + -16 = 78 6x = 78 Divide each side by '6'. x = 13 Simplifying x = 13
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