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Simplifying 4(8x + -7) + -5 = -5x + -33 Reorder the terms: 4(-7 + 8x) + -5 = -5x + -33 (-7 * 4 + 8x * 4) + -5 = -5x + -33 (-28 + 32x) + -5 = -5x + -33 Reorder the terms: -28 + -5 + 32x = -5x + -33 Combine like terms: -28 + -5 = -33 -33 + 32x = -5x + -33 Reorder the terms: -33 + 32x = -33 + -5x Add '33' to each side of the equation. -33 + 33 + 32x = -33 + 33 + -5x Combine like terms: -33 + 33 = 0 0 + 32x = -33 + 33 + -5x 32x = -33 + 33 + -5x Combine like terms: -33 + 33 = 0 32x = 0 + -5x 32x = -5x Solving 32x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 32x + 5x = -5x + 5x Combine like terms: 32x + 5x = 37x 37x = -5x + 5x Combine like terms: -5x + 5x = 0 37x = 0 Divide each side by '37'. x = 0 Simplifying x = 0
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