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Simplifying 4(3x + -5) + -1x = 3(x + 9) Reorder the terms: 4(-5 + 3x) + -1x = 3(x + 9) (-5 * 4 + 3x * 4) + -1x = 3(x + 9) (-20 + 12x) + -1x = 3(x + 9) Combine like terms: 12x + -1x = 11x -20 + 11x = 3(x + 9) Reorder the terms: -20 + 11x = 3(9 + x) -20 + 11x = (9 * 3 + x * 3) -20 + 11x = (27 + 3x) Solving -20 + 11x = 27 + 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. -20 + 11x + -3x = 27 + 3x + -3x Combine like terms: 11x + -3x = 8x -20 + 8x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 -20 + 8x = 27 + 0 -20 + 8x = 27 Add '20' to each side of the equation. -20 + 20 + 8x = 27 + 20 Combine like terms: -20 + 20 = 0 0 + 8x = 27 + 20 8x = 27 + 20 Combine like terms: 27 + 20 = 47 8x = 47 Divide each side by '8'. x = 5.875 Simplifying x = 5.875
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