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Simplifying 5(x + 6) + -7(7x + -5) = -45(x + -2) + 5 Reorder the terms: 5(6 + x) + -7(7x + -5) = -45(x + -2) + 5 (6 * 5 + x * 5) + -7(7x + -5) = -45(x + -2) + 5 (30 + 5x) + -7(7x + -5) = -45(x + -2) + 5 Reorder the terms: 30 + 5x + -7(-5 + 7x) = -45(x + -2) + 5 30 + 5x + (-5 * -7 + 7x * -7) = -45(x + -2) + 5 30 + 5x + (35 + -49x) = -45(x + -2) + 5 Reorder the terms: 30 + 35 + 5x + -49x = -45(x + -2) + 5 Combine like terms: 30 + 35 = 65 65 + 5x + -49x = -45(x + -2) + 5 Combine like terms: 5x + -49x = -44x 65 + -44x = -45(x + -2) + 5 Reorder the terms: 65 + -44x = -45(-2 + x) + 5 65 + -44x = (-2 * -45 + x * -45) + 5 65 + -44x = (90 + -45x) + 5 Reorder the terms: 65 + -44x = 90 + 5 + -45x Combine like terms: 90 + 5 = 95 65 + -44x = 95 + -45x Solving 65 + -44x = 95 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. 65 + -44x + 45x = 95 + -45x + 45x Combine like terms: -44x + 45x = 1x 65 + 1x = 95 + -45x + 45x Combine like terms: -45x + 45x = 0 65 + 1x = 95 + 0 65 + 1x = 95 Add '-65' to each side of the equation. 65 + -65 + 1x = 95 + -65 Combine like terms: 65 + -65 = 0 0 + 1x = 95 + -65 1x = 95 + -65 Combine like terms: 95 + -65 = 30 1x = 30 Divide each side by '1'. x = 30 Simplifying x = 30
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