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Simplifying 12x + 38 = 10x + -58 Reorder the terms: 38 + 12x = 10x + -58 Reorder the terms: 38 + 12x = -58 + 10x Solving 38 + 12x = -58 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 38 + 12x + -10x = -58 + 10x + -10x Combine like terms: 12x + -10x = 2x 38 + 2x = -58 + 10x + -10x Combine like terms: 10x + -10x = 0 38 + 2x = -58 + 0 38 + 2x = -58 Add '-38' to each side of the equation. 38 + -38 + 2x = -58 + -38 Combine like terms: 38 + -38 = 0 0 + 2x = -58 + -38 2x = -58 + -38 Combine like terms: -58 + -38 = -96 2x = -96 Divide each side by '2'. x = -48 Simplifying x = -48
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