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Simplifying 6(-3x + -4 + -5(x + 1)) = -6x + 4 Reorder the terms: 6(-3x + -4 + -5(1 + x)) = -6x + 4 6(-3x + -4 + (1 * -5 + x * -5)) = -6x + 4 6(-3x + -4 + (-5 + -5x)) = -6x + 4 Reorder the terms: 6(-4 + -5 + -3x + -5x) = -6x + 4 Combine like terms: -4 + -5 = -9 6(-9 + -3x + -5x) = -6x + 4 Combine like terms: -3x + -5x = -8x 6(-9 + -8x) = -6x + 4 (-9 * 6 + -8x * 6) = -6x + 4 (-54 + -48x) = -6x + 4 Reorder the terms: -54 + -48x = 4 + -6x Solving -54 + -48x = 4 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -54 + -48x + 6x = 4 + -6x + 6x Combine like terms: -48x + 6x = -42x -54 + -42x = 4 + -6x + 6x Combine like terms: -6x + 6x = 0 -54 + -42x = 4 + 0 -54 + -42x = 4 Add '54' to each side of the equation. -54 + 54 + -42x = 4 + 54 Combine like terms: -54 + 54 = 0 0 + -42x = 4 + 54 -42x = 4 + 54 Combine like terms: 4 + 54 = 58 -42x = 58 Divide each side by '-42'. x = -1.380952381 Simplifying x = -1.380952381
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