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