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Simplifying 4x + 9 = -4(5 + 3x) + -3 Reorder the terms: 9 + 4x = -4(5 + 3x) + -3 9 + 4x = (5 * -4 + 3x * -4) + -3 9 + 4x = (-20 + -12x) + -3 Reorder the terms: 9 + 4x = -20 + -3 + -12x Combine like terms: -20 + -3 = -23 9 + 4x = -23 + -12x Solving 9 + 4x = -23 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 9 + 4x + 12x = -23 + -12x + 12x Combine like terms: 4x + 12x = 16x 9 + 16x = -23 + -12x + 12x Combine like terms: -12x + 12x = 0 9 + 16x = -23 + 0 9 + 16x = -23 Add '-9' to each side of the equation. 9 + -9 + 16x = -23 + -9 Combine like terms: 9 + -9 = 0 0 + 16x = -23 + -9 16x = -23 + -9 Combine like terms: -23 + -9 = -32 16x = -32 Divide each side by '16'. x = -2 Simplifying x = -2
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