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Simplifying 8x + 40 = -4 + -6(-2x + -6) Reorder the terms: 40 + 8x = -4 + -6(-2x + -6) Reorder the terms: 40 + 8x = -4 + -6(-6 + -2x) 40 + 8x = -4 + (-6 * -6 + -2x * -6) 40 + 8x = -4 + (36 + 12x) Combine like terms: -4 + 36 = 32 40 + 8x = 32 + 12x Solving 40 + 8x = 32 + 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. 40 + 8x + -12x = 32 + 12x + -12x Combine like terms: 8x + -12x = -4x 40 + -4x = 32 + 12x + -12x Combine like terms: 12x + -12x = 0 40 + -4x = 32 + 0 40 + -4x = 32 Add '-40' to each side of the equation. 40 + -40 + -4x = 32 + -40 Combine like terms: 40 + -40 = 0 0 + -4x = 32 + -40 -4x = 32 + -40 Combine like terms: 32 + -40 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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