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Simplifying 9(x + -3) + 2 = 4(x + 5) + -2x Reorder the terms: 9(-3 + x) + 2 = 4(x + 5) + -2x (-3 * 9 + x * 9) + 2 = 4(x + 5) + -2x (-27 + 9x) + 2 = 4(x + 5) + -2x Reorder the terms: -27 + 2 + 9x = 4(x + 5) + -2x Combine like terms: -27 + 2 = -25 -25 + 9x = 4(x + 5) + -2x Reorder the terms: -25 + 9x = 4(5 + x) + -2x -25 + 9x = (5 * 4 + x * 4) + -2x -25 + 9x = (20 + 4x) + -2x Combine like terms: 4x + -2x = 2x -25 + 9x = 20 + 2x Solving -25 + 9x = 20 + 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. -25 + 9x + -2x = 20 + 2x + -2x Combine like terms: 9x + -2x = 7x -25 + 7x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 -25 + 7x = 20 + 0 -25 + 7x = 20 Add '25' to each side of the equation. -25 + 25 + 7x = 20 + 25 Combine like terms: -25 + 25 = 0 0 + 7x = 20 + 25 7x = 20 + 25 Combine like terms: 20 + 25 = 45 7x = 45 Divide each side by '7'. x = 6.428571429 Simplifying x = 6.428571429
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