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Simplifying 4(3x + 9) = 8(2x + 1) Reorder the terms: 4(9 + 3x) = 8(2x + 1) (9 * 4 + 3x * 4) = 8(2x + 1) (36 + 12x) = 8(2x + 1) Reorder the terms: 36 + 12x = 8(1 + 2x) 36 + 12x = (1 * 8 + 2x * 8) 36 + 12x = (8 + 16x) Solving 36 + 12x = 8 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 36 + 12x + -16x = 8 + 16x + -16x Combine like terms: 12x + -16x = -4x 36 + -4x = 8 + 16x + -16x Combine like terms: 16x + -16x = 0 36 + -4x = 8 + 0 36 + -4x = 8 Add '-36' to each side of the equation. 36 + -36 + -4x = 8 + -36 Combine like terms: 36 + -36 = 0 0 + -4x = 8 + -36 -4x = 8 + -36 Combine like terms: 8 + -36 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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