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Simplifying 9 + -5(2x + -9) = 2 + 4(x + -3) Reorder the terms: 9 + -5(-9 + 2x) = 2 + 4(x + -3) 9 + (-9 * -5 + 2x * -5) = 2 + 4(x + -3) 9 + (45 + -10x) = 2 + 4(x + -3) Combine like terms: 9 + 45 = 54 54 + -10x = 2 + 4(x + -3) Reorder the terms: 54 + -10x = 2 + 4(-3 + x) 54 + -10x = 2 + (-3 * 4 + x * 4) 54 + -10x = 2 + (-12 + 4x) Combine like terms: 2 + -12 = -10 54 + -10x = -10 + 4x Solving 54 + -10x = -10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 54 + -10x + -4x = -10 + 4x + -4x Combine like terms: -10x + -4x = -14x 54 + -14x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 54 + -14x = -10 + 0 54 + -14x = -10 Add '-54' to each side of the equation. 54 + -54 + -14x = -10 + -54 Combine like terms: 54 + -54 = 0 0 + -14x = -10 + -54 -14x = -10 + -54 Combine like terms: -10 + -54 = -64 -14x = -64 Divide each side by '-14'. x = 4.571428571 Simplifying x = 4.571428571
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