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Simplifying 6(x + -9) + -4x = 5(x + -4) + -1 Reorder the terms: 6(-9 + x) + -4x = 5(x + -4) + -1 (-9 * 6 + x * 6) + -4x = 5(x + -4) + -1 (-54 + 6x) + -4x = 5(x + -4) + -1 Combine like terms: 6x + -4x = 2x -54 + 2x = 5(x + -4) + -1 Reorder the terms: -54 + 2x = 5(-4 + x) + -1 -54 + 2x = (-4 * 5 + x * 5) + -1 -54 + 2x = (-20 + 5x) + -1 Reorder the terms: -54 + 2x = -20 + -1 + 5x Combine like terms: -20 + -1 = -21 -54 + 2x = -21 + 5x Solving -54 + 2x = -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 + 2x + -5x = -21 + 5x + -5x Combine like terms: 2x + -5x = -3x -54 + -3x = -21 + 5x + -5x Combine like terms: 5x + -5x = 0 -54 + -3x = -21 + 0 -54 + -3x = -21 Add '54' to each side of the equation. -54 + 54 + -3x = -21 + 54 Combine like terms: -54 + 54 = 0 0 + -3x = -21 + 54 -3x = -21 + 54 Combine like terms: -21 + 54 = 33 -3x = 33 Divide each side by '-3'. x = -11 Simplifying x = -11
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