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Simplifying 4(3x + 1) = 6(9x + 7) Reorder the terms: 4(1 + 3x) = 6(9x + 7) (1 * 4 + 3x * 4) = 6(9x + 7) (4 + 12x) = 6(9x + 7) Reorder the terms: 4 + 12x = 6(7 + 9x) 4 + 12x = (7 * 6 + 9x * 6) 4 + 12x = (42 + 54x) Solving 4 + 12x = 42 + 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. 4 + 12x + -54x = 42 + 54x + -54x Combine like terms: 12x + -54x = -42x 4 + -42x = 42 + 54x + -54x Combine like terms: 54x + -54x = 0 4 + -42x = 42 + 0 4 + -42x = 42 Add '-4' to each side of the equation. 4 + -4 + -42x = 42 + -4 Combine like terms: 4 + -4 = 0 0 + -42x = 42 + -4 -42x = 42 + -4 Combine like terms: 42 + -4 = 38 -42x = 38 Divide each side by '-42'. x = -0.9047619048 Simplifying x = -0.9047619048
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