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Simplifying 30 + -1(8 + 5x) + -1(3 + -24x) = 29x + -1(31x + -26) 30 + (8 * -1 + 5x * -1) + -1(3 + -24x) = 29x + -1(31x + -26) 30 + (-8 + -5x) + -1(3 + -24x) = 29x + -1(31x + -26) 30 + -8 + -5x + (3 * -1 + -24x * -1) = 29x + -1(31x + -26) 30 + -8 + -5x + (-3 + 24x) = 29x + -1(31x + -26) Reorder the terms: 30 + -8 + -3 + -5x + 24x = 29x + -1(31x + -26) Combine like terms: 30 + -8 = 22 22 + -3 + -5x + 24x = 29x + -1(31x + -26) Combine like terms: 22 + -3 = 19 19 + -5x + 24x = 29x + -1(31x + -26) Combine like terms: -5x + 24x = 19x 19 + 19x = 29x + -1(31x + -26) Reorder the terms: 19 + 19x = 29x + -1(-26 + 31x) 19 + 19x = 29x + (-26 * -1 + 31x * -1) 19 + 19x = 29x + (26 + -31x) Reorder the terms: 19 + 19x = 26 + 29x + -31x Combine like terms: 29x + -31x = -2x 19 + 19x = 26 + -2x Solving 19 + 19x = 26 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 19 + 19x + 2x = 26 + -2x + 2x Combine like terms: 19x + 2x = 21x 19 + 21x = 26 + -2x + 2x Combine like terms: -2x + 2x = 0 19 + 21x = 26 + 0 19 + 21x = 26 Add '-19' to each side of the equation. 19 + -19 + 21x = 26 + -19 Combine like terms: 19 + -19 = 0 0 + 21x = 26 + -19 21x = 26 + -19 Combine like terms: 26 + -19 = 7 21x = 7 Divide each side by '21'. x = 0.3333333333 Simplifying x = 0.3333333333
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