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Simplifying 33 + -4x = -5(6x + 5) + -5(-8 + -5x) Reorder the terms: 33 + -4x = -5(5 + 6x) + -5(-8 + -5x) 33 + -4x = (5 * -5 + 6x * -5) + -5(-8 + -5x) 33 + -4x = (-25 + -30x) + -5(-8 + -5x) 33 + -4x = -25 + -30x + (-8 * -5 + -5x * -5) 33 + -4x = -25 + -30x + (40 + 25x) Reorder the terms: 33 + -4x = -25 + 40 + -30x + 25x Combine like terms: -25 + 40 = 15 33 + -4x = 15 + -30x + 25x Combine like terms: -30x + 25x = -5x 33 + -4x = 15 + -5x Solving 33 + -4x = 15 + -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. 33 + -4x + 5x = 15 + -5x + 5x Combine like terms: -4x + 5x = 1x 33 + 1x = 15 + -5x + 5x Combine like terms: -5x + 5x = 0 33 + 1x = 15 + 0 33 + 1x = 15 Add '-33' to each side of the equation. 33 + -33 + 1x = 15 + -33 Combine like terms: 33 + -33 = 0 0 + 1x = 15 + -33 1x = 15 + -33 Combine like terms: 15 + -33 = -18 1x = -18 Divide each side by '1'. x = -18 Simplifying x = -18
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