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Simplifying -54 = -1(1 + 3x) + 4(-2x + -5) -54 = (1 * -1 + 3x * -1) + 4(-2x + -5) -54 = (-1 + -3x) + 4(-2x + -5) Reorder the terms: -54 = -1 + -3x + 4(-5 + -2x) -54 = -1 + -3x + (-5 * 4 + -2x * 4) -54 = -1 + -3x + (-20 + -8x) Reorder the terms: -54 = -1 + -20 + -3x + -8x Combine like terms: -1 + -20 = -21 -54 = -21 + -3x + -8x Combine like terms: -3x + -8x = -11x -54 = -21 + -11x Solving -54 = -21 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -54 + 11x = -21 + -11x + 11x Combine like terms: -11x + 11x = 0 -54 + 11x = -21 + 0 -54 + 11x = -21 Add '54' to each side of the equation. -54 + 54 + 11x = -21 + 54 Combine like terms: -54 + 54 = 0 0 + 11x = -21 + 54 11x = -21 + 54 Combine like terms: -21 + 54 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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