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Simplifying 6x + 45 = 5 + -4x Reorder the terms: 45 + 6x = 5 + -4x Solving 45 + 6x = 5 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 45 + 6x + 4x = 5 + -4x + 4x Combine like terms: 6x + 4x = 10x 45 + 10x = 5 + -4x + 4x Combine like terms: -4x + 4x = 0 45 + 10x = 5 + 0 45 + 10x = 5 Add '-45' to each side of the equation. 45 + -45 + 10x = 5 + -45 Combine like terms: 45 + -45 = 0 0 + 10x = 5 + -45 10x = 5 + -45 Combine like terms: 5 + -45 = -40 10x = -40 Divide each side by '10'. x = -4 Simplifying x = -4
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