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Simplifying -4(-5x + 4) + -7x = 5(x + -4) + -2 Reorder the terms: -4(4 + -5x) + -7x = 5(x + -4) + -2 (4 * -4 + -5x * -4) + -7x = 5(x + -4) + -2 (-16 + 20x) + -7x = 5(x + -4) + -2 Combine like terms: 20x + -7x = 13x -16 + 13x = 5(x + -4) + -2 Reorder the terms: -16 + 13x = 5(-4 + x) + -2 -16 + 13x = (-4 * 5 + x * 5) + -2 -16 + 13x = (-20 + 5x) + -2 Reorder the terms: -16 + 13x = -20 + -2 + 5x Combine like terms: -20 + -2 = -22 -16 + 13x = -22 + 5x Solving -16 + 13x = -22 + 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. -16 + 13x + -5x = -22 + 5x + -5x Combine like terms: 13x + -5x = 8x -16 + 8x = -22 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + 8x = -22 + 0 -16 + 8x = -22 Add '16' to each side of the equation. -16 + 16 + 8x = -22 + 16 Combine like terms: -16 + 16 = 0 0 + 8x = -22 + 16 8x = -22 + 16 Combine like terms: -22 + 16 = -6 8x = -6 Divide each side by '8'. x = -0.75 Simplifying x = -0.75
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