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Simplifying 7x + -1(3x + 7) = 5(x + -4) Reorder the terms: 7x + -1(7 + 3x) = 5(x + -4) 7x + (7 * -1 + 3x * -1) = 5(x + -4) 7x + (-7 + -3x) = 5(x + -4) Reorder the terms: -7 + 7x + -3x = 5(x + -4) Combine like terms: 7x + -3x = 4x -7 + 4x = 5(x + -4) Reorder the terms: -7 + 4x = 5(-4 + x) -7 + 4x = (-4 * 5 + x * 5) -7 + 4x = (-20 + 5x) Solving -7 + 4x = -20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -7 + 4x + -5x = -20 + 5x + -5x Combine like terms: 4x + -5x = -1x -7 + -1x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + -1x = -20 + 0 -7 + -1x = -20 Add '7' to each side of the equation. -7 + 7 + -1x = -20 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = -20 + 7 -1x = -20 + 7 Combine like terms: -20 + 7 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13
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