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Simplifying x2 + 7x = x2 + -3x + 40 Reorder the terms: 7x + x2 = x2 + -3x + 40 Reorder the terms: 7x + x2 = 40 + -3x + x2 Add '-1x2' to each side of the equation. 7x + x2 + -1x2 = 40 + -3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 7x + 0 = 40 + -3x + x2 + -1x2 7x = 40 + -3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 7x = 40 + -3x + 0 7x = 40 + -3x Solving 7x = 40 + -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. 7x + 3x = 40 + -3x + 3x Combine like terms: 7x + 3x = 10x 10x = 40 + -3x + 3x Combine like terms: -3x + 3x = 0 10x = 40 + 0 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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