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Simplifying 5x + -2(4x + 7) + -9 = 2(x + 5) Reorder the terms: 5x + -2(7 + 4x) + -9 = 2(x + 5) 5x + (7 * -2 + 4x * -2) + -9 = 2(x + 5) 5x + (-14 + -8x) + -9 = 2(x + 5) Reorder the terms: -14 + -9 + 5x + -8x = 2(x + 5) Combine like terms: -14 + -9 = -23 -23 + 5x + -8x = 2(x + 5) Combine like terms: 5x + -8x = -3x -23 + -3x = 2(x + 5) Reorder the terms: -23 + -3x = 2(5 + x) -23 + -3x = (5 * 2 + x * 2) -23 + -3x = (10 + 2x) Solving -23 + -3x = 10 + 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. -23 + -3x + -2x = 10 + 2x + -2x Combine like terms: -3x + -2x = -5x -23 + -5x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -23 + -5x = 10 + 0 -23 + -5x = 10 Add '23' to each side of the equation. -23 + 23 + -5x = 10 + 23 Combine like terms: -23 + 23 = 0 0 + -5x = 10 + 23 -5x = 10 + 23 Combine like terms: 10 + 23 = 33 -5x = 33 Divide each side by '-5'. x = -6.6 Simplifying x = -6.6
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