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Simplifying 2(x + 8) = 3(2x + 3) Reorder the terms: 2(8 + x) = 3(2x + 3) (8 * 2 + x * 2) = 3(2x + 3) (16 + 2x) = 3(2x + 3) Reorder the terms: 16 + 2x = 3(3 + 2x) 16 + 2x = (3 * 3 + 2x * 3) 16 + 2x = (9 + 6x) Solving 16 + 2x = 9 + 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 = 9 + 6x + -6x Combine like terms: 2x + -6x = -4x 16 + -4x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 16 + -4x = 9 + 0 16 + -4x = 9 Add '-16' to each side of the equation. 16 + -16 + -4x = 9 + -16 Combine like terms: 16 + -16 = 0 0 + -4x = 9 + -16 -4x = 9 + -16 Combine like terms: 9 + -16 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75
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