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Simplifying 9 + -4(3x + 4) = 2x + 5(x + -9) Reorder the terms: 9 + -4(4 + 3x) = 2x + 5(x + -9) 9 + (4 * -4 + 3x * -4) = 2x + 5(x + -9) 9 + (-16 + -12x) = 2x + 5(x + -9) Combine like terms: 9 + -16 = -7 -7 + -12x = 2x + 5(x + -9) Reorder the terms: -7 + -12x = 2x + 5(-9 + x) -7 + -12x = 2x + (-9 * 5 + x * 5) -7 + -12x = 2x + (-45 + 5x) Reorder the terms: -7 + -12x = -45 + 2x + 5x Combine like terms: 2x + 5x = 7x -7 + -12x = -45 + 7x Solving -7 + -12x = -45 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -7 + -12x + -7x = -45 + 7x + -7x Combine like terms: -12x + -7x = -19x -7 + -19x = -45 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + -19x = -45 + 0 -7 + -19x = -45 Add '7' to each side of the equation. -7 + 7 + -19x = -45 + 7 Combine like terms: -7 + 7 = 0 0 + -19x = -45 + 7 -19x = -45 + 7 Combine like terms: -45 + 7 = -38 -19x = -38 Divide each side by '-19'. x = 2 Simplifying x = 2
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