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Simplifying -6x + 7 = -38 + 3x Reorder the terms: 7 + -6x = -38 + 3x Solving 7 + -6x = -38 + 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. 7 + -6x + -3x = -38 + 3x + -3x Combine like terms: -6x + -3x = -9x 7 + -9x = -38 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + -9x = -38 + 0 7 + -9x = -38 Add '-7' to each side of the equation. 7 + -7 + -9x = -38 + -7 Combine like terms: 7 + -7 = 0 0 + -9x = -38 + -7 -9x = -38 + -7 Combine like terms: -38 + -7 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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