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Simplifying 2 + 3(4x + -6) = 8 + -4(2x + 1) Reorder the terms: 2 + 3(-6 + 4x) = 8 + -4(2x + 1) 2 + (-6 * 3 + 4x * 3) = 8 + -4(2x + 1) 2 + (-18 + 12x) = 8 + -4(2x + 1) Combine like terms: 2 + -18 = -16 -16 + 12x = 8 + -4(2x + 1) Reorder the terms: -16 + 12x = 8 + -4(1 + 2x) -16 + 12x = 8 + (1 * -4 + 2x * -4) -16 + 12x = 8 + (-4 + -8x) Combine like terms: 8 + -4 = 4 -16 + 12x = 4 + -8x Solving -16 + 12x = 4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -16 + 12x + 8x = 4 + -8x + 8x Combine like terms: 12x + 8x = 20x -16 + 20x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 -16 + 20x = 4 + 0 -16 + 20x = 4 Add '16' to each side of the equation. -16 + 16 + 20x = 4 + 16 Combine like terms: -16 + 16 = 0 0 + 20x = 4 + 16 20x = 4 + 16 Combine like terms: 4 + 16 = 20 20x = 20 Divide each side by '20'. x = 1 Simplifying x = 1
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