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Simplifying 7x + -8 = -3(x + 6) Reorder the terms: -8 + 7x = -3(x + 6) Reorder the terms: -8 + 7x = -3(6 + x) -8 + 7x = (6 * -3 + x * -3) -8 + 7x = (-18 + -3x) Solving -8 + 7x = -18 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -8 + 7x + 3x = -18 + -3x + 3x Combine like terms: 7x + 3x = 10x -8 + 10x = -18 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 10x = -18 + 0 -8 + 10x = -18 Add '8' to each side of the equation. -8 + 8 + 10x = -18 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = -18 + 8 10x = -18 + 8 Combine like terms: -18 + 8 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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