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Simplifying 7(x + 3) + 4 = -7(x + -6) + -2 Reorder the terms: 7(3 + x) + 4 = -7(x + -6) + -2 (3 * 7 + x * 7) + 4 = -7(x + -6) + -2 (21 + 7x) + 4 = -7(x + -6) + -2 Reorder the terms: 21 + 4 + 7x = -7(x + -6) + -2 Combine like terms: 21 + 4 = 25 25 + 7x = -7(x + -6) + -2 Reorder the terms: 25 + 7x = -7(-6 + x) + -2 25 + 7x = (-6 * -7 + x * -7) + -2 25 + 7x = (42 + -7x) + -2 Reorder the terms: 25 + 7x = 42 + -2 + -7x Combine like terms: 42 + -2 = 40 25 + 7x = 40 + -7x Solving 25 + 7x = 40 + -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. 25 + 7x + 7x = 40 + -7x + 7x Combine like terms: 7x + 7x = 14x 25 + 14x = 40 + -7x + 7x Combine like terms: -7x + 7x = 0 25 + 14x = 40 + 0 25 + 14x = 40 Add '-25' to each side of the equation. 25 + -25 + 14x = 40 + -25 Combine like terms: 25 + -25 = 0 0 + 14x = 40 + -25 14x = 40 + -25 Combine like terms: 40 + -25 = 15 14x = 15 Divide each side by '14'. x = 1.071428571 Simplifying x = 1.071428571
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