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Simplifying 6(5x + -1) + -6 = -6(x + -4) Reorder the terms: 6(-1 + 5x) + -6 = -6(x + -4) (-1 * 6 + 5x * 6) + -6 = -6(x + -4) (-6 + 30x) + -6 = -6(x + -4) Reorder the terms: -6 + -6 + 30x = -6(x + -4) Combine like terms: -6 + -6 = -12 -12 + 30x = -6(x + -4) Reorder the terms: -12 + 30x = -6(-4 + x) -12 + 30x = (-4 * -6 + x * -6) -12 + 30x = (24 + -6x) Solving -12 + 30x = 24 + -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. -12 + 30x + 6x = 24 + -6x + 6x Combine like terms: 30x + 6x = 36x -12 + 36x = 24 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 36x = 24 + 0 -12 + 36x = 24 Add '12' to each side of the equation. -12 + 12 + 36x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 36x = 24 + 12 36x = 24 + 12 Combine like terms: 24 + 12 = 36 36x = 36 Divide each side by '36'. x = 1 Simplifying x = 1
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