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Simplifying 30 + 8x = 1 + -3(6x + 1) Reorder the terms: 30 + 8x = 1 + -3(1 + 6x) 30 + 8x = 1 + (1 * -3 + 6x * -3) 30 + 8x = 1 + (-3 + -18x) Combine like terms: 1 + -3 = -2 30 + 8x = -2 + -18x Solving 30 + 8x = -2 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 30 + 8x + 18x = -2 + -18x + 18x Combine like terms: 8x + 18x = 26x 30 + 26x = -2 + -18x + 18x Combine like terms: -18x + 18x = 0 30 + 26x = -2 + 0 30 + 26x = -2 Add '-30' to each side of the equation. 30 + -30 + 26x = -2 + -30 Combine like terms: 30 + -30 = 0 0 + 26x = -2 + -30 26x = -2 + -30 Combine like terms: -2 + -30 = -32 26x = -32 Divide each side by '26'. x = -1.230769231 Simplifying x = -1.230769231
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