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Simplifying 2x + -24 = -8(x + -7) Reorder the terms: -24 + 2x = -8(x + -7) Reorder the terms: -24 + 2x = -8(-7 + x) -24 + 2x = (-7 * -8 + x * -8) -24 + 2x = (56 + -8x) Solving -24 + 2x = 56 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -24 + 2x + 8x = 56 + -8x + 8x Combine like terms: 2x + 8x = 10x -24 + 10x = 56 + -8x + 8x Combine like terms: -8x + 8x = 0 -24 + 10x = 56 + 0 -24 + 10x = 56 Add '24' to each side of the equation. -24 + 24 + 10x = 56 + 24 Combine like terms: -24 + 24 = 0 0 + 10x = 56 + 24 10x = 56 + 24 Combine like terms: 56 + 24 = 80 10x = 80 Divide each side by '10'. x = 8 Simplifying x = 8
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