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Simplifying 12(4x + 1) = 14(3x + 3) Reorder the terms: 12(1 + 4x) = 14(3x + 3) (1 * 12 + 4x * 12) = 14(3x + 3) (12 + 48x) = 14(3x + 3) Reorder the terms: 12 + 48x = 14(3 + 3x) 12 + 48x = (3 * 14 + 3x * 14) 12 + 48x = (42 + 42x) Solving 12 + 48x = 42 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 12 + 48x + -42x = 42 + 42x + -42x Combine like terms: 48x + -42x = 6x 12 + 6x = 42 + 42x + -42x Combine like terms: 42x + -42x = 0 12 + 6x = 42 + 0 12 + 6x = 42 Add '-12' to each side of the equation. 12 + -12 + 6x = 42 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 42 + -12 6x = 42 + -12 Combine like terms: 42 + -12 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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