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Simplifying 6x + -38 = 79 + -3x Reorder the terms: -38 + 6x = 79 + -3x Solving -38 + 6x = 79 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -38 + 6x + 3x = 79 + -3x + 3x Combine like terms: 6x + 3x = 9x -38 + 9x = 79 + -3x + 3x Combine like terms: -3x + 3x = 0 -38 + 9x = 79 + 0 -38 + 9x = 79 Add '38' to each side of the equation. -38 + 38 + 9x = 79 + 38 Combine like terms: -38 + 38 = 0 0 + 9x = 79 + 38 9x = 79 + 38 Combine like terms: 79 + 38 = 117 9x = 117 Divide each side by '9'. x = 13 Simplifying x = 13
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