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Simplifying 45 + 4x = -6x + 76 Reorder the terms: 45 + 4x = 76 + -6x Solving 45 + 4x = 76 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 45 + 4x + 6x = 76 + -6x + 6x Combine like terms: 4x + 6x = 10x 45 + 10x = 76 + -6x + 6x Combine like terms: -6x + 6x = 0 45 + 10x = 76 + 0 45 + 10x = 76 Add '-45' to each side of the equation. 45 + -45 + 10x = 76 + -45 Combine like terms: 45 + -45 = 0 0 + 10x = 76 + -45 10x = 76 + -45 Combine like terms: 76 + -45 = 31 10x = 31 Divide each side by '10'. x = 3.1 Simplifying x = 3.1
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