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Simplifying 6(-9) + -4x = 5(x + -4) + -1 Multiply 6 * -9 -54 + -4x = 5(x + -4) + -1 Reorder the terms: -54 + -4x = 5(-4 + x) + -1 -54 + -4x = (-4 * 5 + x * 5) + -1 -54 + -4x = (-20 + 5x) + -1 Reorder the terms: -54 + -4x = -20 + -1 + 5x Combine like terms: -20 + -1 = -21 -54 + -4x = -21 + 5x Solving -54 + -4x = -21 + 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. -54 + -4x + -5x = -21 + 5x + -5x Combine like terms: -4x + -5x = -9x -54 + -9x = -21 + 5x + -5x Combine like terms: 5x + -5x = 0 -54 + -9x = -21 + 0 -54 + -9x = -21 Add '54' to each side of the equation. -54 + 54 + -9x = -21 + 54 Combine like terms: -54 + 54 = 0 0 + -9x = -21 + 54 -9x = -21 + 54 Combine like terms: -21 + 54 = 33 -9x = 33 Divide each side by '-9'. x = -3.666666667 Simplifying x = -3.666666667
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