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Simplifying 14(x + -7) = 1 + 3x Reorder the terms: 14(-7 + x) = 1 + 3x (-7 * 14 + x * 14) = 1 + 3x (-98 + 14x) = 1 + 3x Solving -98 + 14x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -98 + 14x + -3x = 1 + 3x + -3x Combine like terms: 14x + -3x = 11x -98 + 11x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -98 + 11x = 1 + 0 -98 + 11x = 1 Add '98' to each side of the equation. -98 + 98 + 11x = 1 + 98 Combine like terms: -98 + 98 = 0 0 + 11x = 1 + 98 11x = 1 + 98 Combine like terms: 1 + 98 = 99 11x = 99 Divide each side by '11'. x = 9 Simplifying x = 9
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