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Simplifying 5x + 12 + -1(6x + -1(10(x + -1) + -6)) = 4(x + -6) Reorder the terms: 5x + 12 + -1(6x + -1(10(-1 + x) + -6)) = 4(x + -6) 5x + 12 + -1(6x + -1((-1 * 10 + x * 10) + -6)) = 4(x + -6) 5x + 12 + -1(6x + -1((-10 + 10x) + -6)) = 4(x + -6) Reorder the terms: 5x + 12 + -1(6x + -1(-10 + -6 + 10x)) = 4(x + -6) Combine like terms: -10 + -6 = -16 5x + 12 + -1(6x + -1(-16 + 10x)) = 4(x + -6) 5x + 12 + -1(6x + (-16 * -1 + 10x * -1)) = 4(x + -6) 5x + 12 + -1(6x + (16 + -10x)) = 4(x + -6) Reorder the terms: 5x + 12 + -1(16 + 6x + -10x) = 4(x + -6) Combine like terms: 6x + -10x = -4x 5x + 12 + -1(16 + -4x) = 4(x + -6) 5x + 12 + (16 * -1 + -4x * -1) = 4(x + -6) 5x + 12 + (-16 + 4x) = 4(x + -6) Reorder the terms: 12 + -16 + 5x + 4x = 4(x + -6) Combine like terms: 12 + -16 = -4 -4 + 5x + 4x = 4(x + -6) Combine like terms: 5x + 4x = 9x -4 + 9x = 4(x + -6) Reorder the terms: -4 + 9x = 4(-6 + x) -4 + 9x = (-6 * 4 + x * 4) -4 + 9x = (-24 + 4x) Solving -4 + 9x = -24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -4 + 9x + -4x = -24 + 4x + -4x Combine like terms: 9x + -4x = 5x -4 + 5x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 5x = -24 + 0 -4 + 5x = -24 Add '4' to each side of the equation. -4 + 4 + 5x = -24 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = -24 + 4 5x = -24 + 4 Combine like terms: -24 + 4 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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