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Simplifying -8(x + 4) = 7(2x + 8) Reorder the terms: -8(4 + x) = 7(2x + 8) (4 * -8 + x * -8) = 7(2x + 8) (-32 + -8x) = 7(2x + 8) Reorder the terms: -32 + -8x = 7(8 + 2x) -32 + -8x = (8 * 7 + 2x * 7) -32 + -8x = (56 + 14x) Solving -32 + -8x = 56 + 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. -32 + -8x + -14x = 56 + 14x + -14x Combine like terms: -8x + -14x = -22x -32 + -22x = 56 + 14x + -14x Combine like terms: 14x + -14x = 0 -32 + -22x = 56 + 0 -32 + -22x = 56 Add '32' to each side of the equation. -32 + 32 + -22x = 56 + 32 Combine like terms: -32 + 32 = 0 0 + -22x = 56 + 32 -22x = 56 + 32 Combine like terms: 56 + 32 = 88 -22x = 88 Divide each side by '-22'. x = -4 Simplifying x = -4
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