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Simplifying -7(x + 5) + 2 = -5 + -8x Reorder the terms: -7(5 + x) + 2 = -5 + -8x (5 * -7 + x * -7) + 2 = -5 + -8x (-35 + -7x) + 2 = -5 + -8x Reorder the terms: -35 + 2 + -7x = -5 + -8x Combine like terms: -35 + 2 = -33 -33 + -7x = -5 + -8x Solving -33 + -7x = -5 + -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. -33 + -7x + 8x = -5 + -8x + 8x Combine like terms: -7x + 8x = 1x -33 + 1x = -5 + -8x + 8x Combine like terms: -8x + 8x = 0 -33 + 1x = -5 + 0 -33 + 1x = -5 Add '33' to each side of the equation. -33 + 33 + 1x = -5 + 33 Combine like terms: -33 + 33 = 0 0 + 1x = -5 + 33 1x = -5 + 33 Combine like terms: -5 + 33 = 28 1x = 28 Divide each side by '1'. x = 28 Simplifying x = 28
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