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Simplifying 2x + 9 = 7(2x + -4) + -23 Reorder the terms: 9 + 2x = 7(2x + -4) + -23 Reorder the terms: 9 + 2x = 7(-4 + 2x) + -23 9 + 2x = (-4 * 7 + 2x * 7) + -23 9 + 2x = (-28 + 14x) + -23 Reorder the terms: 9 + 2x = -28 + -23 + 14x Combine like terms: -28 + -23 = -51 9 + 2x = -51 + 14x Solving 9 + 2x = -51 + 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 + 2x + -14x = -51 + 14x + -14x Combine like terms: 2x + -14x = -12x 9 + -12x = -51 + 14x + -14x Combine like terms: 14x + -14x = 0 9 + -12x = -51 + 0 9 + -12x = -51 Add '-9' to each side of the equation. 9 + -9 + -12x = -51 + -9 Combine like terms: 9 + -9 = 0 0 + -12x = -51 + -9 -12x = -51 + -9 Combine like terms: -51 + -9 = -60 -12x = -60 Divide each side by '-12'. x = 5 Simplifying x = 5
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