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Simplifying 7 + 9(x + -3) = 8 + -4(x + -9) Reorder the terms: 7 + 9(-3 + x) = 8 + -4(x + -9) 7 + (-3 * 9 + x * 9) = 8 + -4(x + -9) 7 + (-27 + 9x) = 8 + -4(x + -9) Combine like terms: 7 + -27 = -20 -20 + 9x = 8 + -4(x + -9) Reorder the terms: -20 + 9x = 8 + -4(-9 + x) -20 + 9x = 8 + (-9 * -4 + x * -4) -20 + 9x = 8 + (36 + -4x) Combine like terms: 8 + 36 = 44 -20 + 9x = 44 + -4x Solving -20 + 9x = 44 + -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. -20 + 9x + 4x = 44 + -4x + 4x Combine like terms: 9x + 4x = 13x -20 + 13x = 44 + -4x + 4x Combine like terms: -4x + 4x = 0 -20 + 13x = 44 + 0 -20 + 13x = 44 Add '20' to each side of the equation. -20 + 20 + 13x = 44 + 20 Combine like terms: -20 + 20 = 0 0 + 13x = 44 + 20 13x = 44 + 20 Combine like terms: 44 + 20 = 64 13x = 64 Divide each side by '13'. x = 4.923076923 Simplifying x = 4.923076923
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