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Simplifying -20 + -4(4x + 3) = -20(x + 7) Reorder the terms: -20 + -4(3 + 4x) = -20(x + 7) -20 + (3 * -4 + 4x * -4) = -20(x + 7) -20 + (-12 + -16x) = -20(x + 7) Combine like terms: -20 + -12 = -32 -32 + -16x = -20(x + 7) Reorder the terms: -32 + -16x = -20(7 + x) -32 + -16x = (7 * -20 + x * -20) -32 + -16x = (-140 + -20x) Solving -32 + -16x = -140 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -32 + -16x + 20x = -140 + -20x + 20x Combine like terms: -16x + 20x = 4x -32 + 4x = -140 + -20x + 20x Combine like terms: -20x + 20x = 0 -32 + 4x = -140 + 0 -32 + 4x = -140 Add '32' to each side of the equation. -32 + 32 + 4x = -140 + 32 Combine like terms: -32 + 32 = 0 0 + 4x = -140 + 32 4x = -140 + 32 Combine like terms: -140 + 32 = -108 4x = -108 Divide each side by '4'. x = -27 Simplifying x = -27
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