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Simplifying 4x + -1(4 + -2x) = 5(x + -7) 4x + (4 * -1 + -2x * -1) = 5(x + -7) 4x + (-4 + 2x) = 5(x + -7) Reorder the terms: -4 + 4x + 2x = 5(x + -7) Combine like terms: 4x + 2x = 6x -4 + 6x = 5(x + -7) Reorder the terms: -4 + 6x = 5(-7 + x) -4 + 6x = (-7 * 5 + x * 5) -4 + 6x = (-35 + 5x) Solving -4 + 6x = -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 + 6x + -5x = -35 + 5x + -5x Combine like terms: 6x + -5x = 1x -4 + 1x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 1x = -35 + 0 -4 + 1x = -35 Add '4' to each side of the equation. -4 + 4 + 1x = -35 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = -35 + 4 1x = -35 + 4 Combine like terms: -35 + 4 = -31 1x = -31 Divide each side by '1'. x = -31 Simplifying x = -31
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