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Simplifying 2(3x + -4) + 2x = 3(4x + -3) + -8x Reorder the terms: 2(-4 + 3x) + 2x = 3(4x + -3) + -8x (-4 * 2 + 3x * 2) + 2x = 3(4x + -3) + -8x (-8 + 6x) + 2x = 3(4x + -3) + -8x Combine like terms: 6x + 2x = 8x -8 + 8x = 3(4x + -3) + -8x Reorder the terms: -8 + 8x = 3(-3 + 4x) + -8x -8 + 8x = (-3 * 3 + 4x * 3) + -8x -8 + 8x = (-9 + 12x) + -8x Combine like terms: 12x + -8x = 4x -8 + 8x = -9 + 4x Solving -8 + 8x = -9 + 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. -8 + 8x + -4x = -9 + 4x + -4x Combine like terms: 8x + -4x = 4x -8 + 4x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 4x = -9 + 0 -8 + 4x = -9 Add '8' to each side of the equation. -8 + 8 + 4x = -9 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = -9 + 8 4x = -9 + 8 Combine like terms: -9 + 8 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25
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