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Simplifying 5(x + 4) + 3 = -7(x + -3) + -5 Reorder the terms: 5(4 + x) + 3 = -7(x + -3) + -5 (4 * 5 + x * 5) + 3 = -7(x + -3) + -5 (20 + 5x) + 3 = -7(x + -3) + -5 Reorder the terms: 20 + 3 + 5x = -7(x + -3) + -5 Combine like terms: 20 + 3 = 23 23 + 5x = -7(x + -3) + -5 Reorder the terms: 23 + 5x = -7(-3 + x) + -5 23 + 5x = (-3 * -7 + x * -7) + -5 23 + 5x = (21 + -7x) + -5 Reorder the terms: 23 + 5x = 21 + -5 + -7x Combine like terms: 21 + -5 = 16 23 + 5x = 16 + -7x Solving 23 + 5x = 16 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 23 + 5x + 7x = 16 + -7x + 7x Combine like terms: 5x + 7x = 12x 23 + 12x = 16 + -7x + 7x Combine like terms: -7x + 7x = 0 23 + 12x = 16 + 0 23 + 12x = 16 Add '-23' to each side of the equation. 23 + -23 + 12x = 16 + -23 Combine like terms: 23 + -23 = 0 0 + 12x = 16 + -23 12x = 16 + -23 Combine like terms: 16 + -23 = -7 12x = -7 Divide each side by '12'. x = -0.5833333333 Simplifying x = -0.5833333333
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