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Simplifying 2(x + 8) = 3(2x + 16) Reorder the terms: 2(8 + x) = 3(2x + 16) (8 * 2 + x * 2) = 3(2x + 16) (16 + 2x) = 3(2x + 16) Reorder the terms: 16 + 2x = 3(16 + 2x) 16 + 2x = (16 * 3 + 2x * 3) 16 + 2x = (48 + 6x) Solving 16 + 2x = 48 + 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 + 2x + -6x = 48 + 6x + -6x Combine like terms: 2x + -6x = -4x 16 + -4x = 48 + 6x + -6x Combine like terms: 6x + -6x = 0 16 + -4x = 48 + 0 16 + -4x = 48 Add '-16' to each side of the equation. 16 + -16 + -4x = 48 + -16 Combine like terms: 16 + -16 = 0 0 + -4x = 48 + -16 -4x = 48 + -16 Combine like terms: 48 + -16 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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