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Simplifying 3x + 4(x + -1) = 5(x + -7) Reorder the terms: 3x + 4(-1 + x) = 5(x + -7) 3x + (-1 * 4 + x * 4) = 5(x + -7) 3x + (-4 + 4x) = 5(x + -7) Reorder the terms: -4 + 3x + 4x = 5(x + -7) Combine like terms: 3x + 4x = 7x -4 + 7x = 5(x + -7) Reorder the terms: -4 + 7x = 5(-7 + x) -4 + 7x = (-7 * 5 + x * 5) -4 + 7x = (-35 + 5x) Solving -4 + 7x = -35 + 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. -4 + 7x + -5x = -35 + 5x + -5x Combine like terms: 7x + -5x = 2x -4 + 2x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 2x = -35 + 0 -4 + 2x = -35 Add '4' to each side of the equation. -4 + 4 + 2x = -35 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = -35 + 4 2x = -35 + 4 Combine like terms: -35 + 4 = -31 2x = -31 Divide each side by '2'. x = -15.5 Simplifying x = -15.5
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