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Simplifying 4x + 21 = 14x + -29 Reorder the terms: 21 + 4x = 14x + -29 Reorder the terms: 21 + 4x = -29 + 14x Solving 21 + 4x = -29 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 21 + 4x + -14x = -29 + 14x + -14x Combine like terms: 4x + -14x = -10x 21 + -10x = -29 + 14x + -14x Combine like terms: 14x + -14x = 0 21 + -10x = -29 + 0 21 + -10x = -29 Add '-21' to each side of the equation. 21 + -21 + -10x = -29 + -21 Combine like terms: 21 + -21 = 0 0 + -10x = -29 + -21 -10x = -29 + -21 Combine like terms: -29 + -21 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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