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Simplifying 3x + 7 + -7x = 33 + -12x + 38 Reorder the terms: 7 + 3x + -7x = 33 + -12x + 38 Combine like terms: 3x + -7x = -4x 7 + -4x = 33 + -12x + 38 Reorder the terms: 7 + -4x = 33 + 38 + -12x Combine like terms: 33 + 38 = 71 7 + -4x = 71 + -12x Solving 7 + -4x = 71 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 7 + -4x + 12x = 71 + -12x + 12x Combine like terms: -4x + 12x = 8x 7 + 8x = 71 + -12x + 12x Combine like terms: -12x + 12x = 0 7 + 8x = 71 + 0 7 + 8x = 71 Add '-7' to each side of the equation. 7 + -7 + 8x = 71 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 71 + -7 8x = 71 + -7 Combine like terms: 71 + -7 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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