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Simplifying 4x + -3(x + -9) = -5(4x + 1) Reorder the terms: 4x + -3(-9 + x) = -5(4x + 1) 4x + (-9 * -3 + x * -3) = -5(4x + 1) 4x + (27 + -3x) = -5(4x + 1) Reorder the terms: 27 + 4x + -3x = -5(4x + 1) Combine like terms: 4x + -3x = 1x 27 + 1x = -5(4x + 1) Reorder the terms: 27 + 1x = -5(1 + 4x) 27 + 1x = (1 * -5 + 4x * -5) 27 + 1x = (-5 + -20x) Solving 27 + 1x = -5 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 27 + 1x + 20x = -5 + -20x + 20x Combine like terms: 1x + 20x = 21x 27 + 21x = -5 + -20x + 20x Combine like terms: -20x + 20x = 0 27 + 21x = -5 + 0 27 + 21x = -5 Add '-27' to each side of the equation. 27 + -27 + 21x = -5 + -27 Combine like terms: 27 + -27 = 0 0 + 21x = -5 + -27 21x = -5 + -27 Combine like terms: -5 + -27 = -32 21x = -32 Divide each side by '21'. x = -1.523809524 Simplifying x = -1.523809524
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