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Simplifying 8x + 29 = 14x + -19 Reorder the terms: 29 + 8x = 14x + -19 Reorder the terms: 29 + 8x = -19 + 14x Solving 29 + 8x = -19 + 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 + 8x + -14x = -19 + 14x + -14x Combine like terms: 8x + -14x = -6x 29 + -6x = -19 + 14x + -14x Combine like terms: 14x + -14x = 0 29 + -6x = -19 + 0 29 + -6x = -19 Add '-29' to each side of the equation. 29 + -29 + -6x = -19 + -29 Combine like terms: 29 + -29 = 0 0 + -6x = -19 + -29 -6x = -19 + -29 Combine like terms: -19 + -29 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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