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Simplifying x + -1(8 + 4x) = 2(3x + -4) x + (8 * -1 + 4x * -1) = 2(3x + -4) x + (-8 + -4x) = 2(3x + -4) Reorder the terms: -8 + x + -4x = 2(3x + -4) Combine like terms: x + -4x = -3x -8 + -3x = 2(3x + -4) Reorder the terms: -8 + -3x = 2(-4 + 3x) -8 + -3x = (-4 * 2 + 3x * 2) -8 + -3x = (-8 + 6x) Add '8' to each side of the equation. -8 + 8 + -3x = -8 + 8 + 6x Combine like terms: -8 + 8 = 0 0 + -3x = -8 + 8 + 6x -3x = -8 + 8 + 6x Combine like terms: -8 + 8 = 0 -3x = 0 + 6x -3x = 6x Solving -3x = 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. -3x + -6x = 6x + -6x Combine like terms: -3x + -6x = -9x -9x = 6x + -6x Combine like terms: 6x + -6x = 0 -9x = 0 Divide each side by '-9'. x = 0 Simplifying x = 0
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