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Simplifying 14(16 + -4x) = -6(x + 7) (16 * 14 + -4x * 14) = -6(x + 7) (224 + -56x) = -6(x + 7) Reorder the terms: 224 + -56x = -6(7 + x) 224 + -56x = (7 * -6 + x * -6) 224 + -56x = (-42 + -6x) Solving 224 + -56x = -42 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 224 + -56x + 6x = -42 + -6x + 6x Combine like terms: -56x + 6x = -50x 224 + -50x = -42 + -6x + 6x Combine like terms: -6x + 6x = 0 224 + -50x = -42 + 0 224 + -50x = -42 Add '-224' to each side of the equation. 224 + -224 + -50x = -42 + -224 Combine like terms: 224 + -224 = 0 0 + -50x = -42 + -224 -50x = -42 + -224 Combine like terms: -42 + -224 = -266 -50x = -266 Divide each side by '-50'. x = 5.32 Simplifying x = 5.32
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