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Simplifying 11x + -1(24 + -5x) = 19x + -3(1 + 6x) 11x + (24 * -1 + -5x * -1) = 19x + -3(1 + 6x) 11x + (-24 + 5x) = 19x + -3(1 + 6x) Reorder the terms: -24 + 11x + 5x = 19x + -3(1 + 6x) Combine like terms: 11x + 5x = 16x -24 + 16x = 19x + -3(1 + 6x) -24 + 16x = 19x + (1 * -3 + 6x * -3) -24 + 16x = 19x + (-3 + -18x) Reorder the terms: -24 + 16x = -3 + 19x + -18x Combine like terms: 19x + -18x = 1x -24 + 16x = -3 + 1x Solving -24 + 16x = -3 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -24 + 16x + -1x = -3 + 1x + -1x Combine like terms: 16x + -1x = 15x -24 + 15x = -3 + 1x + -1x Combine like terms: 1x + -1x = 0 -24 + 15x = -3 + 0 -24 + 15x = -3 Add '24' to each side of the equation. -24 + 24 + 15x = -3 + 24 Combine like terms: -24 + 24 = 0 0 + 15x = -3 + 24 15x = -3 + 24 Combine like terms: -3 + 24 = 21 15x = 21 Divide each side by '15'. x = 1.4 Simplifying x = 1.4
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