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Simplifying 30 + -6x = -2(8x + -1) + 8 Reorder the terms: 30 + -6x = -2(-1 + 8x) + 8 30 + -6x = (-1 * -2 + 8x * -2) + 8 30 + -6x = (2 + -16x) + 8 Reorder the terms: 30 + -6x = 2 + 8 + -16x Combine like terms: 2 + 8 = 10 30 + -6x = 10 + -16x Solving 30 + -6x = 10 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 30 + -6x + 16x = 10 + -16x + 16x Combine like terms: -6x + 16x = 10x 30 + 10x = 10 + -16x + 16x Combine like terms: -16x + 16x = 0 30 + 10x = 10 + 0 30 + 10x = 10 Add '-30' to each side of the equation. 30 + -30 + 10x = 10 + -30 Combine like terms: 30 + -30 = 0 0 + 10x = 10 + -30 10x = 10 + -30 Combine like terms: 10 + -30 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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