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Simplifying -1x + 10 = 7x + -38 Reorder the terms: 10 + -1x = 7x + -38 Reorder the terms: 10 + -1x = -38 + 7x Solving 10 + -1x = -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 + -1x + -7x = -38 + 7x + -7x Combine like terms: -1x + -7x = -8x 10 + -8x = -38 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -8x = -38 + 0 10 + -8x = -38 Add '-10' to each side of the equation. 10 + -10 + -8x = -38 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = -38 + -10 -8x = -38 + -10 Combine like terms: -38 + -10 = -48 -8x = -48 Divide each side by '-8'. x = 6 Simplifying x = 6
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