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Simplifying 24 + -1(14x + -8) + -1(3 + 12x) = 4 + -1(8x + -11) Reorder the terms: 24 + -1(-8 + 14x) + -1(3 + 12x) = 4 + -1(8x + -11) 24 + (-8 * -1 + 14x * -1) + -1(3 + 12x) = 4 + -1(8x + -11) 24 + (8 + -14x) + -1(3 + 12x) = 4 + -1(8x + -11) 24 + 8 + -14x + (3 * -1 + 12x * -1) = 4 + -1(8x + -11) 24 + 8 + -14x + (-3 + -12x) = 4 + -1(8x + -11) Reorder the terms: 24 + 8 + -3 + -14x + -12x = 4 + -1(8x + -11) Combine like terms: 24 + 8 = 32 32 + -3 + -14x + -12x = 4 + -1(8x + -11) Combine like terms: 32 + -3 = 29 29 + -14x + -12x = 4 + -1(8x + -11) Combine like terms: -14x + -12x = -26x 29 + -26x = 4 + -1(8x + -11) Reorder the terms: 29 + -26x = 4 + -1(-11 + 8x) 29 + -26x = 4 + (-11 * -1 + 8x * -1) 29 + -26x = 4 + (11 + -8x) Combine like terms: 4 + 11 = 15 29 + -26x = 15 + -8x Solving 29 + -26x = 15 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 29 + -26x + 8x = 15 + -8x + 8x Combine like terms: -26x + 8x = -18x 29 + -18x = 15 + -8x + 8x Combine like terms: -8x + 8x = 0 29 + -18x = 15 + 0 29 + -18x = 15 Add '-29' to each side of the equation. 29 + -29 + -18x = 15 + -29 Combine like terms: 29 + -29 = 0 0 + -18x = 15 + -29 -18x = 15 + -29 Combine like terms: 15 + -29 = -14 -18x = -14 Divide each side by '-18'. x = 0.7777777778 Simplifying x = 0.7777777778
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