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Simplifying 45 + -5x = 5 + -9x Solving 45 + -5x = 5 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 45 + -5x + 9x = 5 + -9x + 9x Combine like terms: -5x + 9x = 4x 45 + 4x = 5 + -9x + 9x Combine like terms: -9x + 9x = 0 45 + 4x = 5 + 0 45 + 4x = 5 Add '-45' to each side of the equation. 45 + -45 + 4x = 5 + -45 Combine like terms: 45 + -45 = 0 0 + 4x = 5 + -45 4x = 5 + -45 Combine like terms: 5 + -45 = -40 4x = -40 Divide each side by '4'. x = -10 Simplifying x = -10
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