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Simplifying 4x + 29 = 14x + -51 Reorder the terms: 29 + 4x = 14x + -51 Reorder the terms: 29 + 4x = -51 + 14x Solving 29 + 4x = -51 + 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 = -51 + 14x + -14x Combine like terms: 4x + -14x = -10x 29 + -10x = -51 + 14x + -14x Combine like terms: 14x + -14x = 0 29 + -10x = -51 + 0 29 + -10x = -51 Add '-29' to each side of the equation. 29 + -29 + -10x = -51 + -29 Combine like terms: 29 + -29 = 0 0 + -10x = -51 + -29 -10x = -51 + -29 Combine like terms: -51 + -29 = -80 -10x = -80 Divide each side by '-10'. x = 8 Simplifying x = 8
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