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Simplifying -20 = -3(x + -1) + 7(x + -5) Reorder the terms: -20 = -3(-1 + x) + 7(x + -5) -20 = (-1 * -3 + x * -3) + 7(x + -5) -20 = (3 + -3x) + 7(x + -5) Reorder the terms: -20 = 3 + -3x + 7(-5 + x) -20 = 3 + -3x + (-5 * 7 + x * 7) -20 = 3 + -3x + (-35 + 7x) Reorder the terms: -20 = 3 + -35 + -3x + 7x Combine like terms: 3 + -35 = -32 -20 = -32 + -3x + 7x Combine like terms: -3x + 7x = 4x -20 = -32 + 4x Solving -20 = -32 + 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. -20 + -4x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 -20 + -4x = -32 + 0 -20 + -4x = -32 Add '20' to each side of the equation. -20 + 20 + -4x = -32 + 20 Combine like terms: -20 + 20 = 0 0 + -4x = -32 + 20 -4x = -32 + 20 Combine like terms: -32 + 20 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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