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Simplifying 9x + -4(x + -2) = 3(x + 1) + -9 Reorder the terms: 9x + -4(-2 + x) = 3(x + 1) + -9 9x + (-2 * -4 + x * -4) = 3(x + 1) + -9 9x + (8 + -4x) = 3(x + 1) + -9 Reorder the terms: 8 + 9x + -4x = 3(x + 1) + -9 Combine like terms: 9x + -4x = 5x 8 + 5x = 3(x + 1) + -9 Reorder the terms: 8 + 5x = 3(1 + x) + -9 8 + 5x = (1 * 3 + x * 3) + -9 8 + 5x = (3 + 3x) + -9 Reorder the terms: 8 + 5x = 3 + -9 + 3x Combine like terms: 3 + -9 = -6 8 + 5x = -6 + 3x Solving 8 + 5x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + 5x + -3x = -6 + 3x + -3x Combine like terms: 5x + -3x = 2x 8 + 2x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 2x = -6 + 0 8 + 2x = -6 Add '-8' to each side of the equation. 8 + -8 + 2x = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = -6 + -8 2x = -6 + -8 Combine like terms: -6 + -8 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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