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Simplifying 3(4x + 3) + 11(x + 3) = -24x Reorder the terms: 3(3 + 4x) + 11(x + 3) = -24x (3 * 3 + 4x * 3) + 11(x + 3) = -24x (9 + 12x) + 11(x + 3) = -24x Reorder the terms: 9 + 12x + 11(3 + x) = -24x 9 + 12x + (3 * 11 + x * 11) = -24x 9 + 12x + (33 + 11x) = -24x Reorder the terms: 9 + 33 + 12x + 11x = -24x Combine like terms: 9 + 33 = 42 42 + 12x + 11x = -24x Combine like terms: 12x + 11x = 23x 42 + 23x = -24x Solving 42 + 23x = -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 42 + 23x + 24x = -24x + 24x Combine like terms: 23x + 24x = 47x 42 + 47x = -24x + 24x Combine like terms: -24x + 24x = 0 42 + 47x = 0 Add '-42' to each side of the equation. 42 + -42 + 47x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 47x = 0 + -42 47x = 0 + -42 Combine like terms: 0 + -42 = -42 47x = -42 Divide each side by '47'. x = -0.8936170213 Simplifying x = -0.8936170213
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