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Simplifying 3 + -9(x + 5) + -7 = 3 + 8(9 + -3x) + -81 Reorder the terms: 3 + -9(5 + x) + -7 = 3 + 8(9 + -3x) + -81 3 + (5 * -9 + x * -9) + -7 = 3 + 8(9 + -3x) + -81 3 + (-45 + -9x) + -7 = 3 + 8(9 + -3x) + -81 Reorder the terms: 3 + -45 + -7 + -9x = 3 + 8(9 + -3x) + -81 Combine like terms: 3 + -45 = -42 -42 + -7 + -9x = 3 + 8(9 + -3x) + -81 Combine like terms: -42 + -7 = -49 -49 + -9x = 3 + 8(9 + -3x) + -81 -49 + -9x = 3 + (9 * 8 + -3x * 8) + -81 -49 + -9x = 3 + (72 + -24x) + -81 Reorder the terms: -49 + -9x = 3 + 72 + -81 + -24x Combine like terms: 3 + 72 = 75 -49 + -9x = 75 + -81 + -24x Combine like terms: 75 + -81 = -6 -49 + -9x = -6 + -24x Solving -49 + -9x = -6 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -49 + -9x + 24x = -6 + -24x + 24x Combine like terms: -9x + 24x = 15x -49 + 15x = -6 + -24x + 24x Combine like terms: -24x + 24x = 0 -49 + 15x = -6 + 0 -49 + 15x = -6 Add '49' to each side of the equation. -49 + 49 + 15x = -6 + 49 Combine like terms: -49 + 49 = 0 0 + 15x = -6 + 49 15x = -6 + 49 Combine like terms: -6 + 49 = 43 15x = 43 Divide each side by '15'. x = 2.866666667 Simplifying x = 2.866666667
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