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