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Simplifying 2(3x + -8) = 4(x + 1) Reorder the terms: 2(-8 + 3x) = 4(x + 1) (-8 * 2 + 3x * 2) = 4(x + 1) (-16 + 6x) = 4(x + 1) Reorder the terms: -16 + 6x = 4(1 + x) -16 + 6x = (1 * 4 + x * 4) -16 + 6x = (4 + 4x) Solving -16 + 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. -16 + 6x + -4x = 4 + 4x + -4x Combine like terms: 6x + -4x = 2x -16 + 2x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -16 + 2x = 4 + 0 -16 + 2x = 4 Add '16' to each side of the equation. -16 + 16 + 2x = 4 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = 4 + 16 2x = 4 + 16 Combine like terms: 4 + 16 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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