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Simplifying -10x + 21 = 4x + 7 Reorder the terms: 21 + -10x = 4x + 7 Reorder the terms: 21 + -10x = 7 + 4x Solving 21 + -10x = 7 + 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. 21 + -10x + -4x = 7 + 4x + -4x Combine like terms: -10x + -4x = -14x 21 + -14x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + -14x = 7 + 0 21 + -14x = 7 Add '-21' to each side of the equation. 21 + -21 + -14x = 7 + -21 Combine like terms: 21 + -21 = 0 0 + -14x = 7 + -21 -14x = 7 + -21 Combine like terms: 7 + -21 = -14 -14x = -14 Divide each side by '-14'. x = 1 Simplifying x = 1
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