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Simplifying 1 + -4x + -5 = 6(6 + 6x) + -8(6x + -3) Reorder the terms: 1 + -5 + -4x = 6(6 + 6x) + -8(6x + -3) Combine like terms: 1 + -5 = -4 -4 + -4x = 6(6 + 6x) + -8(6x + -3) -4 + -4x = (6 * 6 + 6x * 6) + -8(6x + -3) -4 + -4x = (36 + 36x) + -8(6x + -3) Reorder the terms: -4 + -4x = 36 + 36x + -8(-3 + 6x) -4 + -4x = 36 + 36x + (-3 * -8 + 6x * -8) -4 + -4x = 36 + 36x + (24 + -48x) Reorder the terms: -4 + -4x = 36 + 24 + 36x + -48x Combine like terms: 36 + 24 = 60 -4 + -4x = 60 + 36x + -48x Combine like terms: 36x + -48x = -12x -4 + -4x = 60 + -12x Solving -4 + -4x = 60 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -4 + -4x + 12x = 60 + -12x + 12x Combine like terms: -4x + 12x = 8x -4 + 8x = 60 + -12x + 12x Combine like terms: -12x + 12x = 0 -4 + 8x = 60 + 0 -4 + 8x = 60 Add '4' to each side of the equation. -4 + 4 + 8x = 60 + 4 Combine like terms: -4 + 4 = 0 0 + 8x = 60 + 4 8x = 60 + 4 Combine like terms: 60 + 4 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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