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Simplifying 4(3x + 4) = -5(x + 4) Reorder the terms: 4(4 + 3x) = -5(x + 4) (4 * 4 + 3x * 4) = -5(x + 4) (16 + 12x) = -5(x + 4) Reorder the terms: 16 + 12x = -5(4 + x) 16 + 12x = (4 * -5 + x * -5) 16 + 12x = (-20 + -5x) Solving 16 + 12x = -20 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 16 + 12x + 5x = -20 + -5x + 5x Combine like terms: 12x + 5x = 17x 16 + 17x = -20 + -5x + 5x Combine like terms: -5x + 5x = 0 16 + 17x = -20 + 0 16 + 17x = -20 Add '-16' to each side of the equation. 16 + -16 + 17x = -20 + -16 Combine like terms: 16 + -16 = 0 0 + 17x = -20 + -16 17x = -20 + -16 Combine like terms: -20 + -16 = -36 17x = -36 Divide each side by '17'. x = -2.117647059 Simplifying x = -2.117647059
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