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