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Simplifying 9 + -7(3x + 5) = x + -2(x + 4) Reorder the terms: 9 + -7(5 + 3x) = x + -2(x + 4) 9 + (5 * -7 + 3x * -7) = x + -2(x + 4) 9 + (-35 + -21x) = x + -2(x + 4) Combine like terms: 9 + -35 = -26 -26 + -21x = x + -2(x + 4) Reorder the terms: -26 + -21x = x + -2(4 + x) -26 + -21x = x + (4 * -2 + x * -2) -26 + -21x = x + (-8 + -2x) Reorder the terms: -26 + -21x = -8 + x + -2x Combine like terms: x + -2x = -1x -26 + -21x = -8 + -1x Solving -26 + -21x = -8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -26 + -21x + x = -8 + -1x + x Combine like terms: -21x + x = -20x -26 + -20x = -8 + -1x + x Combine like terms: -1x + x = 0 -26 + -20x = -8 + 0 -26 + -20x = -8 Add '26' to each side of the equation. -26 + 26 + -20x = -8 + 26 Combine like terms: -26 + 26 = 0 0 + -20x = -8 + 26 -20x = -8 + 26 Combine like terms: -8 + 26 = 18 -20x = 18 Divide each side by '-20'. x = -0.9 Simplifying x = -0.9
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