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Simplifying 14 + -1(3 + 2x) + 7x = 7(x + 2) + -1(1 + x) * 3 14 + (3 * -1 + 2x * -1) + 7x = 7(x + 2) + -1(1 + x) * 3 14 + (-3 + -2x) + 7x = 7(x + 2) + -1(1 + x) * 3 Combine like terms: 14 + -3 = 11 11 + -2x + 7x = 7(x + 2) + -1(1 + x) * 3 Combine like terms: -2x + 7x = 5x 11 + 5x = 7(x + 2) + -1(1 + x) * 3 Reorder the terms: 11 + 5x = 7(2 + x) + -1(1 + x) * 3 11 + 5x = (2 * 7 + x * 7) + -1(1 + x) * 3 11 + 5x = (14 + 7x) + -1(1 + x) * 3 Reorder the terms for easier multiplication: 11 + 5x = 14 + 7x + -1 * 3(1 + x) Multiply -1 * 3 11 + 5x = 14 + 7x + -3(1 + x) 11 + 5x = 14 + 7x + (1 * -3 + x * -3) 11 + 5x = 14 + 7x + (-3 + -3x) Reorder the terms: 11 + 5x = 14 + -3 + 7x + -3x Combine like terms: 14 + -3 = 11 11 + 5x = 11 + 7x + -3x Combine like terms: 7x + -3x = 4x 11 + 5x = 11 + 4x Add '-11' to each side of the equation. 11 + -11 + 5x = 11 + -11 + 4x Combine like terms: 11 + -11 = 0 0 + 5x = 11 + -11 + 4x 5x = 11 + -11 + 4x Combine like terms: 11 + -11 = 0 5x = 0 + 4x 5x = 4x Solving 5x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5x + -4x = 4x + -4x Combine like terms: 5x + -4x = 1x 1x = 4x + -4x Combine like terms: 4x + -4x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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