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Simplifying 45 + -3x = 5 + -8x Solving 45 + -3x = 5 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 45 + -3x + 8x = 5 + -8x + 8x Combine like terms: -3x + 8x = 5x 45 + 5x = 5 + -8x + 8x Combine like terms: -8x + 8x = 0 45 + 5x = 5 + 0 45 + 5x = 5 Add '-45' to each side of the equation. 45 + -45 + 5x = 5 + -45 Combine like terms: 45 + -45 = 0 0 + 5x = 5 + -45 5x = 5 + -45 Combine like terms: 5 + -45 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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