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Simplifying 2x + 9 = 2 + -3(x + -4) Reorder the terms: 9 + 2x = 2 + -3(x + -4) Reorder the terms: 9 + 2x = 2 + -3(-4 + x) 9 + 2x = 2 + (-4 * -3 + x * -3) 9 + 2x = 2 + (12 + -3x) Combine like terms: 2 + 12 = 14 9 + 2x = 14 + -3x Solving 9 + 2x = 14 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 9 + 2x + 3x = 14 + -3x + 3x Combine like terms: 2x + 3x = 5x 9 + 5x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 9 + 5x = 14 + 0 9 + 5x = 14 Add '-9' to each side of the equation. 9 + -9 + 5x = 14 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = 14 + -9 5x = 14 + -9 Combine like terms: 14 + -9 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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