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Simplifying 33 = -5(7x + -5) + 8(-8x + 1) Reorder the terms: 33 = -5(-5 + 7x) + 8(-8x + 1) 33 = (-5 * -5 + 7x * -5) + 8(-8x + 1) 33 = (25 + -35x) + 8(-8x + 1) Reorder the terms: 33 = 25 + -35x + 8(1 + -8x) 33 = 25 + -35x + (1 * 8 + -8x * 8) 33 = 25 + -35x + (8 + -64x) Reorder the terms: 33 = 25 + 8 + -35x + -64x Combine like terms: 25 + 8 = 33 33 = 33 + -35x + -64x Combine like terms: -35x + -64x = -99x 33 = 33 + -99x Add '-33' to each side of the equation. 33 + -33 = 33 + -33 + -99x Combine like terms: 33 + -33 = 0 0 = 33 + -33 + -99x Combine like terms: 33 + -33 = 0 0 = 0 + -99x 0 = -99x Solving 0 = -99x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '99x' to each side of the equation. 0 + 99x = -99x + 99x Remove the zero: 99x = -99x + 99x Combine like terms: -99x + 99x = 0 99x = 0 Divide each side by '99'. x = 0 Simplifying x = 0
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