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