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Simplifying 7(x + 9) + 3 = -5(x + -5) + -3 Reorder the terms: 7(9 + x) + 3 = -5(x + -5) + -3 (9 * 7 + x * 7) + 3 = -5(x + -5) + -3 (63 + 7x) + 3 = -5(x + -5) + -3 Reorder the terms: 63 + 3 + 7x = -5(x + -5) + -3 Combine like terms: 63 + 3 = 66 66 + 7x = -5(x + -5) + -3 Reorder the terms: 66 + 7x = -5(-5 + x) + -3 66 + 7x = (-5 * -5 + x * -5) + -3 66 + 7x = (25 + -5x) + -3 Reorder the terms: 66 + 7x = 25 + -3 + -5x Combine like terms: 25 + -3 = 22 66 + 7x = 22 + -5x Solving 66 + 7x = 22 + -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. 66 + 7x + 5x = 22 + -5x + 5x Combine like terms: 7x + 5x = 12x 66 + 12x = 22 + -5x + 5x Combine like terms: -5x + 5x = 0 66 + 12x = 22 + 0 66 + 12x = 22 Add '-66' to each side of the equation. 66 + -66 + 12x = 22 + -66 Combine like terms: 66 + -66 = 0 0 + 12x = 22 + -66 12x = 22 + -66 Combine like terms: 22 + -66 = -44 12x = -44 Divide each side by '12'. x = -3.666666667 Simplifying x = -3.666666667
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