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Simplifying -5x + -1(7 + -4x) = -2(3x + -4) -5x + (7 * -1 + -4x * -1) = -2(3x + -4) -5x + (-7 + 4x) = -2(3x + -4) Reorder the terms: -7 + -5x + 4x = -2(3x + -4) Combine like terms: -5x + 4x = -1x -7 + -1x = -2(3x + -4) Reorder the terms: -7 + -1x = -2(-4 + 3x) -7 + -1x = (-4 * -2 + 3x * -2) -7 + -1x = (8 + -6x) Solving -7 + -1x = 8 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -7 + -1x + 6x = 8 + -6x + 6x Combine like terms: -1x + 6x = 5x -7 + 5x = 8 + -6x + 6x Combine like terms: -6x + 6x = 0 -7 + 5x = 8 + 0 -7 + 5x = 8 Add '7' to each side of the equation. -7 + 7 + 5x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 8 + 7 5x = 8 + 7 Combine like terms: 8 + 7 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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