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Simplifying 20 + -4(7 + -2x) = 4(x + -1) 20 + (7 * -4 + -2x * -4) = 4(x + -1) 20 + (-28 + 8x) = 4(x + -1) Combine like terms: 20 + -28 = -8 -8 + 8x = 4(x + -1) Reorder the terms: -8 + 8x = 4(-1 + x) -8 + 8x = (-1 * 4 + x * 4) -8 + 8x = (-4 + 4x) Solving -8 + 8x = -4 + 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 = -4 + 4x + -4x Combine like terms: 8x + -4x = 4x -8 + 4x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 4x = -4 + 0 -8 + 4x = -4 Add '8' to each side of the equation. -8 + 8 + 4x = -4 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = -4 + 8 4x = -4 + 8 Combine like terms: -4 + 8 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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