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Simplifying 24x + -6(3x + -5) = 11(4x + 1) Reorder the terms: 24x + -6(-5 + 3x) = 11(4x + 1) 24x + (-5 * -6 + 3x * -6) = 11(4x + 1) 24x + (30 + -18x) = 11(4x + 1) Reorder the terms: 30 + 24x + -18x = 11(4x + 1) Combine like terms: 24x + -18x = 6x 30 + 6x = 11(4x + 1) Reorder the terms: 30 + 6x = 11(1 + 4x) 30 + 6x = (1 * 11 + 4x * 11) 30 + 6x = (11 + 44x) Solving 30 + 6x = 11 + 44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44x' to each side of the equation. 30 + 6x + -44x = 11 + 44x + -44x Combine like terms: 6x + -44x = -38x 30 + -38x = 11 + 44x + -44x Combine like terms: 44x + -44x = 0 30 + -38x = 11 + 0 30 + -38x = 11 Add '-30' to each side of the equation. 30 + -30 + -38x = 11 + -30 Combine like terms: 30 + -30 = 0 0 + -38x = 11 + -30 -38x = 11 + -30 Combine like terms: 11 + -30 = -19 -38x = -19 Divide each side by '-38'. x = 0.5 Simplifying x = 0.5
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