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Simplifying 2x + 5x + -9 = 3(x + -4) + -5 Reorder the terms: -9 + 2x + 5x = 3(x + -4) + -5 Combine like terms: 2x + 5x = 7x -9 + 7x = 3(x + -4) + -5 Reorder the terms: -9 + 7x = 3(-4 + x) + -5 -9 + 7x = (-4 * 3 + x * 3) + -5 -9 + 7x = (-12 + 3x) + -5 Reorder the terms: -9 + 7x = -12 + -5 + 3x Combine like terms: -12 + -5 = -17 -9 + 7x = -17 + 3x Solving -9 + 7x = -17 + 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 + 7x + -3x = -17 + 3x + -3x Combine like terms: 7x + -3x = 4x -9 + 4x = -17 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + 4x = -17 + 0 -9 + 4x = -17 Add '9' to each side of the equation. -9 + 9 + 4x = -17 + 9 Combine like terms: -9 + 9 = 0 0 + 4x = -17 + 9 4x = -17 + 9 Combine like terms: -17 + 9 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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