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Simplifying 3x + 7 + -7x = 9x + -7 + x Reorder the terms: 7 + 3x + -7x = 9x + -7 + x Combine like terms: 3x + -7x = -4x 7 + -4x = 9x + -7 + x Reorder the terms: 7 + -4x = -7 + 9x + x Combine like terms: 9x + x = 10x 7 + -4x = -7 + 10x Solving 7 + -4x = -7 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 7 + -4x + -10x = -7 + 10x + -10x Combine like terms: -4x + -10x = -14x 7 + -14x = -7 + 10x + -10x Combine like terms: 10x + -10x = 0 7 + -14x = -7 + 0 7 + -14x = -7 Add '-7' to each side of the equation. 7 + -7 + -14x = -7 + -7 Combine like terms: 7 + -7 = 0 0 + -14x = -7 + -7 -14x = -7 + -7 Combine like terms: -7 + -7 = -14 -14x = -14 Divide each side by '-14'. x = 1 Simplifying x = 1
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