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Simplifying 45 + -3x = 13 + -5x Solving 45 + -3x = 13 + -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. 45 + -3x + 5x = 13 + -5x + 5x Combine like terms: -3x + 5x = 2x 45 + 2x = 13 + -5x + 5x Combine like terms: -5x + 5x = 0 45 + 2x = 13 + 0 45 + 2x = 13 Add '-45' to each side of the equation. 45 + -45 + 2x = 13 + -45 Combine like terms: 45 + -45 = 0 0 + 2x = 13 + -45 2x = 13 + -45 Combine like terms: 13 + -45 = -32 2x = -32 Divide each side by '2'. x = -16 Simplifying x = -16
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