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Simplifying 18x + 3(4x + -9) = -6x + 6 + -1x Reorder the terms: 18x + 3(-9 + 4x) = -6x + 6 + -1x 18x + (-9 * 3 + 4x * 3) = -6x + 6 + -1x 18x + (-27 + 12x) = -6x + 6 + -1x Reorder the terms: -27 + 18x + 12x = -6x + 6 + -1x Combine like terms: 18x + 12x = 30x -27 + 30x = -6x + 6 + -1x Reorder the terms: -27 + 30x = 6 + -6x + -1x Combine like terms: -6x + -1x = -7x -27 + 30x = 6 + -7x Solving -27 + 30x = 6 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -27 + 30x + 7x = 6 + -7x + 7x Combine like terms: 30x + 7x = 37x -27 + 37x = 6 + -7x + 7x Combine like terms: -7x + 7x = 0 -27 + 37x = 6 + 0 -27 + 37x = 6 Add '27' to each side of the equation. -27 + 27 + 37x = 6 + 27 Combine like terms: -27 + 27 = 0 0 + 37x = 6 + 27 37x = 6 + 27 Combine like terms: 6 + 27 = 33 37x = 33 Divide each side by '37'. x = 0.8918918919 Simplifying x = 0.8918918919
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