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Simplifying 4x + 29 = 14x + -71 Reorder the terms: 29 + 4x = 14x + -71 Reorder the terms: 29 + 4x = -71 + 14x Solving 29 + 4x = -71 + 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. 29 + 4x + -14x = -71 + 14x + -14x Combine like terms: 4x + -14x = -10x 29 + -10x = -71 + 14x + -14x Combine like terms: 14x + -14x = 0 29 + -10x = -71 + 0 29 + -10x = -71 Add '-29' to each side of the equation. 29 + -29 + -10x = -71 + -29 Combine like terms: 29 + -29 = 0 0 + -10x = -71 + -29 -10x = -71 + -29 Combine like terms: -71 + -29 = -100 -10x = -100 Divide each side by '-10'. x = 10 Simplifying x = 10
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