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Simplifying 13 + -3(7x + 3) = 9x + 8(x + -9) Reorder the terms: 13 + -3(3 + 7x) = 9x + 8(x + -9) 13 + (3 * -3 + 7x * -3) = 9x + 8(x + -9) 13 + (-9 + -21x) = 9x + 8(x + -9) Combine like terms: 13 + -9 = 4 4 + -21x = 9x + 8(x + -9) Reorder the terms: 4 + -21x = 9x + 8(-9 + x) 4 + -21x = 9x + (-9 * 8 + x * 8) 4 + -21x = 9x + (-72 + 8x) Reorder the terms: 4 + -21x = -72 + 9x + 8x Combine like terms: 9x + 8x = 17x 4 + -21x = -72 + 17x Solving 4 + -21x = -72 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 4 + -21x + -17x = -72 + 17x + -17x Combine like terms: -21x + -17x = -38x 4 + -38x = -72 + 17x + -17x Combine like terms: 17x + -17x = 0 4 + -38x = -72 + 0 4 + -38x = -72 Add '-4' to each side of the equation. 4 + -4 + -38x = -72 + -4 Combine like terms: 4 + -4 = 0 0 + -38x = -72 + -4 -38x = -72 + -4 Combine like terms: -72 + -4 = -76 -38x = -76 Divide each side by '-38'. x = 2 Simplifying x = 2
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