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Simplifying 10x + 78 = -38 + 6x Reorder the terms: 78 + 10x = -38 + 6x Solving 78 + 10x = -38 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 78 + 10x + -6x = -38 + 6x + -6x Combine like terms: 10x + -6x = 4x 78 + 4x = -38 + 6x + -6x Combine like terms: 6x + -6x = 0 78 + 4x = -38 + 0 78 + 4x = -38 Add '-78' to each side of the equation. 78 + -78 + 4x = -38 + -78 Combine like terms: 78 + -78 = 0 0 + 4x = -38 + -78 4x = -38 + -78 Combine like terms: -38 + -78 = -116 4x = -116 Divide each side by '4'. x = -29 Simplifying x = -29
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