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Simplifying 2(x + -4) + -23 = 9 + -3x Reorder the terms: 2(-4 + x) + -23 = 9 + -3x (-4 * 2 + x * 2) + -23 = 9 + -3x (-8 + 2x) + -23 = 9 + -3x Reorder the terms: -8 + -23 + 2x = 9 + -3x Combine like terms: -8 + -23 = -31 -31 + 2x = 9 + -3x Solving -31 + 2x = 9 + -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. -31 + 2x + 3x = 9 + -3x + 3x Combine like terms: 2x + 3x = 5x -31 + 5x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 -31 + 5x = 9 + 0 -31 + 5x = 9 Add '31' to each side of the equation. -31 + 31 + 5x = 9 + 31 Combine like terms: -31 + 31 = 0 0 + 5x = 9 + 31 5x = 9 + 31 Combine like terms: 9 + 31 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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