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Simplifying x + -9 = 7(2x + 3) + -17 Reorder the terms: -9 + x = 7(2x + 3) + -17 Reorder the terms: -9 + x = 7(3 + 2x) + -17 -9 + x = (3 * 7 + 2x * 7) + -17 -9 + x = (21 + 14x) + -17 Reorder the terms: -9 + x = 21 + -17 + 14x Combine like terms: 21 + -17 = 4 -9 + x = 4 + 14x Solving -9 + x = 4 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -9 + x + -14x = 4 + 14x + -14x Combine like terms: x + -14x = -13x -9 + -13x = 4 + 14x + -14x Combine like terms: 14x + -14x = 0 -9 + -13x = 4 + 0 -9 + -13x = 4 Add '9' to each side of the equation. -9 + 9 + -13x = 4 + 9 Combine like terms: -9 + 9 = 0 0 + -13x = 4 + 9 -13x = 4 + 9 Combine like terms: 4 + 9 = 13 -13x = 13 Divide each side by '-13'. x = -1 Simplifying x = -1
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