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Simplifying 4x + 5 = -6x + 45 Reorder the terms: 5 + 4x = -6x + 45 Reorder the terms: 5 + 4x = 45 + -6x Solving 5 + 4x = 45 + -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. 5 + 4x + 6x = 45 + -6x + 6x Combine like terms: 4x + 6x = 10x 5 + 10x = 45 + -6x + 6x Combine like terms: -6x + 6x = 0 5 + 10x = 45 + 0 5 + 10x = 45 Add '-5' to each side of the equation. 5 + -5 + 10x = 45 + -5 Combine like terms: 5 + -5 = 0 0 + 10x = 45 + -5 10x = 45 + -5 Combine like terms: 45 + -5 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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