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Simplifying (4x + 2) * 8 = (9) * 4x Reorder the terms: (2 + 4x) * 8 = (9) * 4x Reorder the terms for easier multiplication: 8(2 + 4x) = (9) * 4x (2 * 8 + 4x * 8) = (9) * 4x (16 + 32x) = (9) * 4x Multiply 9 * 4 16 + 32x = 36x Solving 16 + 32x = 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 16 + 32x + -36x = 36x + -36x Combine like terms: 32x + -36x = -4x 16 + -4x = 36x + -36x Combine like terms: 36x + -36x = 0 16 + -4x = 0 Add '-16' to each side of the equation. 16 + -16 + -4x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -4x = 0 + -16 -4x = 0 + -16 Combine like terms: 0 + -16 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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