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Simplifying x + -8 = 33 + -7(x + 7) Reorder the terms: -8 + x = 33 + -7(x + 7) Reorder the terms: -8 + x = 33 + -7(7 + x) -8 + x = 33 + (7 * -7 + x * -7) -8 + x = 33 + (-49 + -7x) Combine like terms: 33 + -49 = -16 -8 + x = -16 + -7x Solving -8 + x = -16 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -8 + x + 7x = -16 + -7x + 7x Combine like terms: x + 7x = 8x -8 + 8x = -16 + -7x + 7x Combine like terms: -7x + 7x = 0 -8 + 8x = -16 + 0 -8 + 8x = -16 Add '8' to each side of the equation. -8 + 8 + 8x = -16 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = -16 + 8 8x = -16 + 8 Combine like terms: -16 + 8 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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