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Simplifying 7(x + 4) + -9 = 2x + 14 Reorder the terms: 7(4 + x) + -9 = 2x + 14 (4 * 7 + x * 7) + -9 = 2x + 14 (28 + 7x) + -9 = 2x + 14 Reorder the terms: 28 + -9 + 7x = 2x + 14 Combine like terms: 28 + -9 = 19 19 + 7x = 2x + 14 Reorder the terms: 19 + 7x = 14 + 2x Solving 19 + 7x = 14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 19 + 7x + -2x = 14 + 2x + -2x Combine like terms: 7x + -2x = 5x 19 + 5x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 19 + 5x = 14 + 0 19 + 5x = 14 Add '-19' to each side of the equation. 19 + -19 + 5x = 14 + -19 Combine like terms: 19 + -19 = 0 0 + 5x = 14 + -19 5x = 14 + -19 Combine like terms: 14 + -19 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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