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Simplifying -112 = 7x + -7(4x + -2) Reorder the terms: -112 = 7x + -7(-2 + 4x) -112 = 7x + (-2 * -7 + 4x * -7) -112 = 7x + (14 + -28x) Reorder the terms: -112 = 14 + 7x + -28x Combine like terms: 7x + -28x = -21x -112 = 14 + -21x Solving -112 = 14 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -112 + 21x = 14 + -21x + 21x Combine like terms: -21x + 21x = 0 -112 + 21x = 14 + 0 -112 + 21x = 14 Add '112' to each side of the equation. -112 + 112 + 21x = 14 + 112 Combine like terms: -112 + 112 = 0 0 + 21x = 14 + 112 21x = 14 + 112 Combine like terms: 14 + 112 = 126 21x = 126 Divide each side by '21'. x = 6 Simplifying x = 6
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