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Simplifying 6x + 15 = -4x + 45 Reorder the terms: 15 + 6x = -4x + 45 Reorder the terms: 15 + 6x = 45 + -4x Solving 15 + 6x = 45 + -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. 15 + 6x + 4x = 45 + -4x + 4x Combine like terms: 6x + 4x = 10x 15 + 10x = 45 + -4x + 4x Combine like terms: -4x + 4x = 0 15 + 10x = 45 + 0 15 + 10x = 45 Add '-15' to each side of the equation. 15 + -15 + 10x = 45 + -15 Combine like terms: 15 + -15 = 0 0 + 10x = 45 + -15 10x = 45 + -15 Combine like terms: 45 + -15 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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