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Simplifying 7(x + 5) + 2 = -7(x + -8) + -3 Reorder the terms: 7(5 + x) + 2 = -7(x + -8) + -3 (5 * 7 + x * 7) + 2 = -7(x + -8) + -3 (35 + 7x) + 2 = -7(x + -8) + -3 Reorder the terms: 35 + 2 + 7x = -7(x + -8) + -3 Combine like terms: 35 + 2 = 37 37 + 7x = -7(x + -8) + -3 Reorder the terms: 37 + 7x = -7(-8 + x) + -3 37 + 7x = (-8 * -7 + x * -7) + -3 37 + 7x = (56 + -7x) + -3 Reorder the terms: 37 + 7x = 56 + -3 + -7x Combine like terms: 56 + -3 = 53 37 + 7x = 53 + -7x Solving 37 + 7x = 53 + -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. 37 + 7x + 7x = 53 + -7x + 7x Combine like terms: 7x + 7x = 14x 37 + 14x = 53 + -7x + 7x Combine like terms: -7x + 7x = 0 37 + 14x = 53 + 0 37 + 14x = 53 Add '-37' to each side of the equation. 37 + -37 + 14x = 53 + -37 Combine like terms: 37 + -37 = 0 0 + 14x = 53 + -37 14x = 53 + -37 Combine like terms: 53 + -37 = 16 14x = 16 Divide each side by '14'. x = 1.142857143 Simplifying x = 1.142857143
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