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Simplifying 5(x + 1) + 4 = -7(x + -5) + -4 Reorder the terms: 5(1 + x) + 4 = -7(x + -5) + -4 (1 * 5 + x * 5) + 4 = -7(x + -5) + -4 (5 + 5x) + 4 = -7(x + -5) + -4 Reorder the terms: 5 + 4 + 5x = -7(x + -5) + -4 Combine like terms: 5 + 4 = 9 9 + 5x = -7(x + -5) + -4 Reorder the terms: 9 + 5x = -7(-5 + x) + -4 9 + 5x = (-5 * -7 + x * -7) + -4 9 + 5x = (35 + -7x) + -4 Reorder the terms: 9 + 5x = 35 + -4 + -7x Combine like terms: 35 + -4 = 31 9 + 5x = 31 + -7x Solving 9 + 5x = 31 + -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. 9 + 5x + 7x = 31 + -7x + 7x Combine like terms: 5x + 7x = 12x 9 + 12x = 31 + -7x + 7x Combine like terms: -7x + 7x = 0 9 + 12x = 31 + 0 9 + 12x = 31 Add '-9' to each side of the equation. 9 + -9 + 12x = 31 + -9 Combine like terms: 9 + -9 = 0 0 + 12x = 31 + -9 12x = 31 + -9 Combine like terms: 31 + -9 = 22 12x = 22 Divide each side by '12'. x = 1.833333333 Simplifying x = 1.833333333
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