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Simplifying 7x + -4x + -7 = x + -2 + 9 Reorder the terms: -7 + 7x + -4x = x + -2 + 9 Combine like terms: 7x + -4x = 3x -7 + 3x = x + -2 + 9 Reorder the terms: -7 + 3x = -2 + 9 + x Combine like terms: -2 + 9 = 7 -7 + 3x = 7 + x Solving -7 + 3x = 7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7 + 3x + -1x = 7 + x + -1x Combine like terms: 3x + -1x = 2x -7 + 2x = 7 + x + -1x Combine like terms: x + -1x = 0 -7 + 2x = 7 + 0 -7 + 2x = 7 Add '7' to each side of the equation. -7 + 7 + 2x = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 7 + 7 2x = 7 + 7 Combine like terms: 7 + 7 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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