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Simplifying 14(7x + -14) + 3 = 12(8x + 20) + 1 Reorder the terms: 14(-14 + 7x) + 3 = 12(8x + 20) + 1 (-14 * 14 + 7x * 14) + 3 = 12(8x + 20) + 1 (-196 + 98x) + 3 = 12(8x + 20) + 1 Reorder the terms: -196 + 3 + 98x = 12(8x + 20) + 1 Combine like terms: -196 + 3 = -193 -193 + 98x = 12(8x + 20) + 1 Reorder the terms: -193 + 98x = 12(20 + 8x) + 1 -193 + 98x = (20 * 12 + 8x * 12) + 1 -193 + 98x = (240 + 96x) + 1 Reorder the terms: -193 + 98x = 240 + 1 + 96x Combine like terms: 240 + 1 = 241 -193 + 98x = 241 + 96x Solving -193 + 98x = 241 + 96x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-96x' to each side of the equation. -193 + 98x + -96x = 241 + 96x + -96x Combine like terms: 98x + -96x = 2x -193 + 2x = 241 + 96x + -96x Combine like terms: 96x + -96x = 0 -193 + 2x = 241 + 0 -193 + 2x = 241 Add '193' to each side of the equation. -193 + 193 + 2x = 241 + 193 Combine like terms: -193 + 193 = 0 0 + 2x = 241 + 193 2x = 241 + 193 Combine like terms: 241 + 193 = 434 2x = 434 Divide each side by '2'. x = 217 Simplifying x = 217
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