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Simplifying 4 = 4(x + -5) + -7x Reorder the terms: 4 = 4(-5 + x) + -7x 4 = (-5 * 4 + x * 4) + -7x 4 = (-20 + 4x) + -7x Combine like terms: 4x + -7x = -3x 4 = -20 + -3x Solving 4 = -20 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 4 + 3x = -20 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 3x = -20 + 0 4 + 3x = -20 Add '-4' to each side of the equation. 4 + -4 + 3x = -20 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = -20 + -4 3x = -20 + -4 Combine like terms: -20 + -4 = -24 3x = -24 Divide each side by '3'. x = -8 Simplifying x = -8
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