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Simplifying 12(3x + 7) = x + 14(3x + -3) Reorder the terms: 12(7 + 3x) = x + 14(3x + -3) (7 * 12 + 3x * 12) = x + 14(3x + -3) (84 + 36x) = x + 14(3x + -3) Reorder the terms: 84 + 36x = x + 14(-3 + 3x) 84 + 36x = x + (-3 * 14 + 3x * 14) 84 + 36x = x + (-42 + 42x) Reorder the terms: 84 + 36x = -42 + x + 42x Combine like terms: x + 42x = 43x 84 + 36x = -42 + 43x Solving 84 + 36x = -42 + 43x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43x' to each side of the equation. 84 + 36x + -43x = -42 + 43x + -43x Combine like terms: 36x + -43x = -7x 84 + -7x = -42 + 43x + -43x Combine like terms: 43x + -43x = 0 84 + -7x = -42 + 0 84 + -7x = -42 Add '-84' to each side of the equation. 84 + -84 + -7x = -42 + -84 Combine like terms: 84 + -84 = 0 0 + -7x = -42 + -84 -7x = -42 + -84 Combine like terms: -42 + -84 = -126 -7x = -126 Divide each side by '-7'. x = 18 Simplifying x = 18
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