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Simplifying 10x + 30 = -2x + 2 + 8x Reorder the terms: 30 + 10x = -2x + 2 + 8x Reorder the terms: 30 + 10x = 2 + -2x + 8x Combine like terms: -2x + 8x = 6x 30 + 10x = 2 + 6x Solving 30 + 10x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 30 + 10x + -6x = 2 + 6x + -6x Combine like terms: 10x + -6x = 4x 30 + 4x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 30 + 4x = 2 + 0 30 + 4x = 2 Add '-30' to each side of the equation. 30 + -30 + 4x = 2 + -30 Combine like terms: 30 + -30 = 0 0 + 4x = 2 + -30 4x = 2 + -30 Combine like terms: 2 + -30 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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