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Simplifying 38 + 29x = 10x + 12x + -18 Reorder the terms: 38 + 29x = -18 + 10x + 12x Combine like terms: 10x + 12x = 22x 38 + 29x = -18 + 22x Solving 38 + 29x = -18 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 38 + 29x + -22x = -18 + 22x + -22x Combine like terms: 29x + -22x = 7x 38 + 7x = -18 + 22x + -22x Combine like terms: 22x + -22x = 0 38 + 7x = -18 + 0 38 + 7x = -18 Add '-38' to each side of the equation. 38 + -38 + 7x = -18 + -38 Combine like terms: 38 + -38 = 0 0 + 7x = -18 + -38 7x = -18 + -38 Combine like terms: -18 + -38 = -56 7x = -56 Divide each side by '7'. x = -8 Simplifying x = -8
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