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Simplifying 3(10x + 18) = -26(x + -3) Reorder the terms: 3(18 + 10x) = -26(x + -3) (18 * 3 + 10x * 3) = -26(x + -3) (54 + 30x) = -26(x + -3) Reorder the terms: 54 + 30x = -26(-3 + x) 54 + 30x = (-3 * -26 + x * -26) 54 + 30x = (78 + -26x) Solving 54 + 30x = 78 + -26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26x' to each side of the equation. 54 + 30x + 26x = 78 + -26x + 26x Combine like terms: 30x + 26x = 56x 54 + 56x = 78 + -26x + 26x Combine like terms: -26x + 26x = 0 54 + 56x = 78 + 0 54 + 56x = 78 Add '-54' to each side of the equation. 54 + -54 + 56x = 78 + -54 Combine like terms: 54 + -54 = 0 0 + 56x = 78 + -54 56x = 78 + -54 Combine like terms: 78 + -54 = 24 56x = 24 Divide each side by '56'. x = 0.4285714286 Simplifying x = 0.4285714286
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