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Simplifying 33 + -8x = 5 + -7(3x + -4) Reorder the terms: 33 + -8x = 5 + -7(-4 + 3x) 33 + -8x = 5 + (-4 * -7 + 3x * -7) 33 + -8x = 5 + (28 + -21x) Combine like terms: 5 + 28 = 33 33 + -8x = 33 + -21x Add '-33' to each side of the equation. 33 + -33 + -8x = 33 + -33 + -21x Combine like terms: 33 + -33 = 0 0 + -8x = 33 + -33 + -21x -8x = 33 + -33 + -21x Combine like terms: 33 + -33 = 0 -8x = 0 + -21x -8x = -21x Solving -8x = -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -8x + 21x = -21x + 21x Combine like terms: -8x + 21x = 13x 13x = -21x + 21x Combine like terms: -21x + 21x = 0 13x = 0 Divide each side by '13'. x = 0 Simplifying x = 0
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