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Simplifying 14(x + 3) + 2(x + -7) = 9(x + 7) Reorder the terms: 14(3 + x) + 2(x + -7) = 9(x + 7) (3 * 14 + x * 14) + 2(x + -7) = 9(x + 7) (42 + 14x) + 2(x + -7) = 9(x + 7) Reorder the terms: 42 + 14x + 2(-7 + x) = 9(x + 7) 42 + 14x + (-7 * 2 + x * 2) = 9(x + 7) 42 + 14x + (-14 + 2x) = 9(x + 7) Reorder the terms: 42 + -14 + 14x + 2x = 9(x + 7) Combine like terms: 42 + -14 = 28 28 + 14x + 2x = 9(x + 7) Combine like terms: 14x + 2x = 16x 28 + 16x = 9(x + 7) Reorder the terms: 28 + 16x = 9(7 + x) 28 + 16x = (7 * 9 + x * 9) 28 + 16x = (63 + 9x) Solving 28 + 16x = 63 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 28 + 16x + -9x = 63 + 9x + -9x Combine like terms: 16x + -9x = 7x 28 + 7x = 63 + 9x + -9x Combine like terms: 9x + -9x = 0 28 + 7x = 63 + 0 28 + 7x = 63 Add '-28' to each side of the equation. 28 + -28 + 7x = 63 + -28 Combine like terms: 28 + -28 = 0 0 + 7x = 63 + -28 7x = 63 + -28 Combine like terms: 63 + -28 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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