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Simplifying 8x + -24 = 2(-7x + -1) Reorder the terms: -24 + 8x = 2(-7x + -1) Reorder the terms: -24 + 8x = 2(-1 + -7x) -24 + 8x = (-1 * 2 + -7x * 2) -24 + 8x = (-2 + -14x) Solving -24 + 8x = -2 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -24 + 8x + 14x = -2 + -14x + 14x Combine like terms: 8x + 14x = 22x -24 + 22x = -2 + -14x + 14x Combine like terms: -14x + 14x = 0 -24 + 22x = -2 + 0 -24 + 22x = -2 Add '24' to each side of the equation. -24 + 24 + 22x = -2 + 24 Combine like terms: -24 + 24 = 0 0 + 22x = -2 + 24 22x = -2 + 24 Combine like terms: -2 + 24 = 22 22x = 22 Divide each side by '22'. x = 1 Simplifying x = 1
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