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Simplifying -4(2x + -7) + 5 = 8x + 33 Reorder the terms: -4(-7 + 2x) + 5 = 8x + 33 (-7 * -4 + 2x * -4) + 5 = 8x + 33 (28 + -8x) + 5 = 8x + 33 Reorder the terms: 28 + 5 + -8x = 8x + 33 Combine like terms: 28 + 5 = 33 33 + -8x = 8x + 33 Reorder the terms: 33 + -8x = 33 + 8x Add '-33' to each side of the equation. 33 + -33 + -8x = 33 + -33 + 8x Combine like terms: 33 + -33 = 0 0 + -8x = 33 + -33 + 8x -8x = 33 + -33 + 8x Combine like terms: 33 + -33 = 0 -8x = 0 + 8x -8x = 8x Solving -8x = 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. -8x + -8x = 8x + -8x Combine like terms: -8x + -8x = -16x -16x = 8x + -8x Combine like terms: 8x + -8x = 0 -16x = 0 Divide each side by '-16'. x = 0 Simplifying x = 0
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