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Simplifying 12x + -66 + -35 + 2x = 8x + -35 + 2x + 98 Reorder the terms: -66 + -35 + 12x + 2x = 8x + -35 + 2x + 98 Combine like terms: -66 + -35 = -101 -101 + 12x + 2x = 8x + -35 + 2x + 98 Combine like terms: 12x + 2x = 14x -101 + 14x = 8x + -35 + 2x + 98 Reorder the terms: -101 + 14x = -35 + 98 + 8x + 2x Combine like terms: -35 + 98 = 63 -101 + 14x = 63 + 8x + 2x Combine like terms: 8x + 2x = 10x -101 + 14x = 63 + 10x Solving -101 + 14x = 63 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -101 + 14x + -10x = 63 + 10x + -10x Combine like terms: 14x + -10x = 4x -101 + 4x = 63 + 10x + -10x Combine like terms: 10x + -10x = 0 -101 + 4x = 63 + 0 -101 + 4x = 63 Add '101' to each side of the equation. -101 + 101 + 4x = 63 + 101 Combine like terms: -101 + 101 = 0 0 + 4x = 63 + 101 4x = 63 + 101 Combine like terms: 63 + 101 = 164 4x = 164 Divide each side by '4'. x = 41 Simplifying x = 41
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