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Simplifying 2(3x + -4) = 2x + -1(4x + -8) Reorder the terms: 2(-4 + 3x) = 2x + -1(4x + -8) (-4 * 2 + 3x * 2) = 2x + -1(4x + -8) (-8 + 6x) = 2x + -1(4x + -8) Reorder the terms: -8 + 6x = 2x + -1(-8 + 4x) -8 + 6x = 2x + (-8 * -1 + 4x * -1) -8 + 6x = 2x + (8 + -4x) Reorder the terms: -8 + 6x = 8 + 2x + -4x Combine like terms: 2x + -4x = -2x -8 + 6x = 8 + -2x Solving -8 + 6x = 8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -8 + 6x + 2x = 8 + -2x + 2x Combine like terms: 6x + 2x = 8x -8 + 8x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 8x = 8 + 0 -8 + 8x = 8 Add '8' to each side of the equation. -8 + 8 + 8x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = 8 + 8 8x = 8 + 8 Combine like terms: 8 + 8 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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