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Simplifying -1x + 30 = 7x + -2 Reorder the terms: 30 + -1x = 7x + -2 Reorder the terms: 30 + -1x = -2 + 7x Solving 30 + -1x = -2 + 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. 30 + -1x + -7x = -2 + 7x + -7x Combine like terms: -1x + -7x = -8x 30 + -8x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 30 + -8x = -2 + 0 30 + -8x = -2 Add '-30' to each side of the equation. 30 + -30 + -8x = -2 + -30 Combine like terms: 30 + -30 = 0 0 + -8x = -2 + -30 -8x = -2 + -30 Combine like terms: -2 + -30 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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