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Simplifying 3x + -7 + 7x = 4x + 45 + -7x Reorder the terms: -7 + 3x + 7x = 4x + 45 + -7x Combine like terms: 3x + 7x = 10x -7 + 10x = 4x + 45 + -7x Reorder the terms: -7 + 10x = 45 + 4x + -7x Combine like terms: 4x + -7x = -3x -7 + 10x = 45 + -3x Solving -7 + 10x = 45 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -7 + 10x + 3x = 45 + -3x + 3x Combine like terms: 10x + 3x = 13x -7 + 13x = 45 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 13x = 45 + 0 -7 + 13x = 45 Add '7' to each side of the equation. -7 + 7 + 13x = 45 + 7 Combine like terms: -7 + 7 = 0 0 + 13x = 45 + 7 13x = 45 + 7 Combine like terms: 45 + 7 = 52 13x = 52 Divide each side by '13'. x = 4 Simplifying x = 4
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