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Simplifying 9x + -4(3x + -1) + -11 = 5x + -18 + -23 Reorder the terms: 9x + -4(-1 + 3x) + -11 = 5x + -18 + -23 9x + (-1 * -4 + 3x * -4) + -11 = 5x + -18 + -23 9x + (4 + -12x) + -11 = 5x + -18 + -23 Reorder the terms: 4 + -11 + 9x + -12x = 5x + -18 + -23 Combine like terms: 4 + -11 = -7 -7 + 9x + -12x = 5x + -18 + -23 Combine like terms: 9x + -12x = -3x -7 + -3x = 5x + -18 + -23 Reorder the terms: -7 + -3x = -18 + -23 + 5x Combine like terms: -18 + -23 = -41 -7 + -3x = -41 + 5x Solving -7 + -3x = -41 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -7 + -3x + -5x = -41 + 5x + -5x Combine like terms: -3x + -5x = -8x -7 + -8x = -41 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + -8x = -41 + 0 -7 + -8x = -41 Add '7' to each side of the equation. -7 + 7 + -8x = -41 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = -41 + 7 -8x = -41 + 7 Combine like terms: -41 + 7 = -34 -8x = -34 Divide each side by '-8'. x = 4.25 Simplifying x = 4.25
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