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Simplifying 4(3x + 8) = 11x + -49 + -2x Reorder the terms: 4(8 + 3x) = 11x + -49 + -2x (8 * 4 + 3x * 4) = 11x + -49 + -2x (32 + 12x) = 11x + -49 + -2x Reorder the terms: 32 + 12x = -49 + 11x + -2x Combine like terms: 11x + -2x = 9x 32 + 12x = -49 + 9x Solving 32 + 12x = -49 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 32 + 12x + -9x = -49 + 9x + -9x Combine like terms: 12x + -9x = 3x 32 + 3x = -49 + 9x + -9x Combine like terms: 9x + -9x = 0 32 + 3x = -49 + 0 32 + 3x = -49 Add '-32' to each side of the equation. 32 + -32 + 3x = -49 + -32 Combine like terms: 32 + -32 = 0 0 + 3x = -49 + -32 3x = -49 + -32 Combine like terms: -49 + -32 = -81 3x = -81 Divide each side by '3'. x = -27 Simplifying x = -27
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