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Simplifying 3x + 2(x + -4) = 8x + -1(2x + 14) + 2(3 + -1x) Reorder the terms: 3x + 2(-4 + x) = 8x + -1(2x + 14) + 2(3 + -1x) 3x + (-4 * 2 + x * 2) = 8x + -1(2x + 14) + 2(3 + -1x) 3x + (-8 + 2x) = 8x + -1(2x + 14) + 2(3 + -1x) Reorder the terms: -8 + 3x + 2x = 8x + -1(2x + 14) + 2(3 + -1x) Combine like terms: 3x + 2x = 5x -8 + 5x = 8x + -1(2x + 14) + 2(3 + -1x) Reorder the terms: -8 + 5x = 8x + -1(14 + 2x) + 2(3 + -1x) -8 + 5x = 8x + (14 * -1 + 2x * -1) + 2(3 + -1x) -8 + 5x = 8x + (-14 + -2x) + 2(3 + -1x) -8 + 5x = 8x + -14 + -2x + (3 * 2 + -1x * 2) -8 + 5x = 8x + -14 + -2x + (6 + -2x) Reorder the terms: -8 + 5x = -14 + 6 + 8x + -2x + -2x Combine like terms: -14 + 6 = -8 -8 + 5x = -8 + 8x + -2x + -2x Combine like terms: 8x + -2x = 6x -8 + 5x = -8 + 6x + -2x Combine like terms: 6x + -2x = 4x -8 + 5x = -8 + 4x Add '8' to each side of the equation. -8 + 8 + 5x = -8 + 8 + 4x Combine like terms: -8 + 8 = 0 0 + 5x = -8 + 8 + 4x 5x = -8 + 8 + 4x Combine like terms: -8 + 8 = 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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