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Simplifying x + 10 = -38 + 7x Reorder the terms: 10 + x = -38 + 7x Solving 10 + x = -38 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + x + -7x = -38 + 7x + -7x Combine like terms: x + -7x = -6x 10 + -6x = -38 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -6x = -38 + 0 10 + -6x = -38 Add '-10' to each side of the equation. 10 + -10 + -6x = -38 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = -38 + -10 -6x = -38 + -10 Combine like terms: -38 + -10 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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