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Simplifying -7 + -7(x + -1) = -7x + -6(4x + 4) Reorder the terms: -7 + -7(-1 + x) = -7x + -6(4x + 4) -7 + (-1 * -7 + x * -7) = -7x + -6(4x + 4) -7 + (7 + -7x) = -7x + -6(4x + 4) Combine like terms: -7 + 7 = 0 0 + -7x = -7x + -6(4x + 4) -7x = -7x + -6(4x + 4) Reorder the terms: -7x = -7x + -6(4 + 4x) -7x = -7x + (4 * -6 + 4x * -6) -7x = -7x + (-24 + -24x) Reorder the terms: -7x = -24 + -7x + -24x Combine like terms: -7x + -24x = -31x -7x = -24 + -31x Solving -7x = -24 + -31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31x' to each side of the equation. -7x + 31x = -24 + -31x + 31x Combine like terms: -7x + 31x = 24x 24x = -24 + -31x + 31x Combine like terms: -31x + 31x = 0 24x = -24 + 0 24x = -24 Divide each side by '24'. x = -1 Simplifying x = -1
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