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Simplifying -4(2x + 5) + 12 = 44 + -4x + 36 Reorder the terms: -4(5 + 2x) + 12 = 44 + -4x + 36 (5 * -4 + 2x * -4) + 12 = 44 + -4x + 36 (-20 + -8x) + 12 = 44 + -4x + 36 Reorder the terms: -20 + 12 + -8x = 44 + -4x + 36 Combine like terms: -20 + 12 = -8 -8 + -8x = 44 + -4x + 36 Reorder the terms: -8 + -8x = 44 + 36 + -4x Combine like terms: 44 + 36 = 80 -8 + -8x = 80 + -4x Solving -8 + -8x = 80 + -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. -8 + -8x + 4x = 80 + -4x + 4x Combine like terms: -8x + 4x = -4x -8 + -4x = 80 + -4x + 4x Combine like terms: -4x + 4x = 0 -8 + -4x = 80 + 0 -8 + -4x = 80 Add '8' to each side of the equation. -8 + 8 + -4x = 80 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = 80 + 8 -4x = 80 + 8 Combine like terms: 80 + 8 = 88 -4x = 88 Divide each side by '-4'. x = -22 Simplifying x = -22
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