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Simplifying 5 + 7(x + -9) = 7 + -7(x + -5) Reorder the terms: 5 + 7(-9 + x) = 7 + -7(x + -5) 5 + (-9 * 7 + x * 7) = 7 + -7(x + -5) 5 + (-63 + 7x) = 7 + -7(x + -5) Combine like terms: 5 + -63 = -58 -58 + 7x = 7 + -7(x + -5) Reorder the terms: -58 + 7x = 7 + -7(-5 + x) -58 + 7x = 7 + (-5 * -7 + x * -7) -58 + 7x = 7 + (35 + -7x) Combine like terms: 7 + 35 = 42 -58 + 7x = 42 + -7x Solving -58 + 7x = 42 + -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. -58 + 7x + 7x = 42 + -7x + 7x Combine like terms: 7x + 7x = 14x -58 + 14x = 42 + -7x + 7x Combine like terms: -7x + 7x = 0 -58 + 14x = 42 + 0 -58 + 14x = 42 Add '58' to each side of the equation. -58 + 58 + 14x = 42 + 58 Combine like terms: -58 + 58 = 0 0 + 14x = 42 + 58 14x = 42 + 58 Combine like terms: 42 + 58 = 100 14x = 100 Divide each side by '14'. x = 7.142857143 Simplifying x = 7.142857143
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