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Simplifying 5x + 29 = 12x + -55 Reorder the terms: 29 + 5x = 12x + -55 Reorder the terms: 29 + 5x = -55 + 12x Solving 29 + 5x = -55 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 29 + 5x + -12x = -55 + 12x + -12x Combine like terms: 5x + -12x = -7x 29 + -7x = -55 + 12x + -12x Combine like terms: 12x + -12x = 0 29 + -7x = -55 + 0 29 + -7x = -55 Add '-29' to each side of the equation. 29 + -29 + -7x = -55 + -29 Combine like terms: 29 + -29 = 0 0 + -7x = -55 + -29 -7x = -55 + -29 Combine like terms: -55 + -29 = -84 -7x = -84 Divide each side by '-7'. x = 12 Simplifying x = 12
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