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Simplifying 3x + -7(4 + x) = 9(x + 9) 3x + (4 * -7 + x * -7) = 9(x + 9) 3x + (-28 + -7x) = 9(x + 9) Reorder the terms: -28 + 3x + -7x = 9(x + 9) Combine like terms: 3x + -7x = -4x -28 + -4x = 9(x + 9) Reorder the terms: -28 + -4x = 9(9 + x) -28 + -4x = (9 * 9 + x * 9) -28 + -4x = (81 + 9x) Solving -28 + -4x = 81 + 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 + -4x + -9x = 81 + 9x + -9x Combine like terms: -4x + -9x = -13x -28 + -13x = 81 + 9x + -9x Combine like terms: 9x + -9x = 0 -28 + -13x = 81 + 0 -28 + -13x = 81 Add '28' to each side of the equation. -28 + 28 + -13x = 81 + 28 Combine like terms: -28 + 28 = 0 0 + -13x = 81 + 28 -13x = 81 + 28 Combine like terms: 81 + 28 = 109 -13x = 109 Divide each side by '-13'. x = -8.384615385 Simplifying x = -8.384615385
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