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Simplifying 3 + 8x = 7x + -45 + -5x Reorder the terms: 3 + 8x = -45 + 7x + -5x Combine like terms: 7x + -5x = 2x 3 + 8x = -45 + 2x Solving 3 + 8x = -45 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3 + 8x + -2x = -45 + 2x + -2x Combine like terms: 8x + -2x = 6x 3 + 6x = -45 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 6x = -45 + 0 3 + 6x = -45 Add '-3' to each side of the equation. 3 + -3 + 6x = -45 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = -45 + -3 6x = -45 + -3 Combine like terms: -45 + -3 = -48 6x = -48 Divide each side by '6'. x = -8 Simplifying x = -8
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