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Simplifying x(3 + -7) + 8 + 2x = 3x + -7x + 8 + -2x Combine like terms: 3 + -7 = -4 x(-4) + 8 + 2x = 3x + -7x + 8 + -2x Reorder the terms for easier multiplication: -4x + 8 + 2x = 3x + -7x + 8 + -2x Reorder the terms: 8 + -4x + 2x = 3x + -7x + 8 + -2x Combine like terms: -4x + 2x = -2x 8 + -2x = 3x + -7x + 8 + -2x Reorder the terms: 8 + -2x = 8 + 3x + -7x + -2x Combine like terms: 3x + -7x = -4x 8 + -2x = 8 + -4x + -2x Combine like terms: -4x + -2x = -6x 8 + -2x = 8 + -6x Add '-8' to each side of the equation. 8 + -8 + -2x = 8 + -8 + -6x Combine like terms: 8 + -8 = 0 0 + -2x = 8 + -8 + -6x -2x = 8 + -8 + -6x Combine like terms: 8 + -8 = 0 -2x = 0 + -6x -2x = -6x Solving -2x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -2x + 6x = -6x + 6x Combine like terms: -2x + 6x = 4x 4x = -6x + 6x Combine like terms: -6x + 6x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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