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Simplifying -7x + -4(x + 1) = 2(5x + 8) Reorder the terms: -7x + -4(1 + x) = 2(5x + 8) -7x + (1 * -4 + x * -4) = 2(5x + 8) -7x + (-4 + -4x) = 2(5x + 8) Reorder the terms: -4 + -7x + -4x = 2(5x + 8) Combine like terms: -7x + -4x = -11x -4 + -11x = 2(5x + 8) Reorder the terms: -4 + -11x = 2(8 + 5x) -4 + -11x = (8 * 2 + 5x * 2) -4 + -11x = (16 + 10x) Solving -4 + -11x = 16 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -4 + -11x + -10x = 16 + 10x + -10x Combine like terms: -11x + -10x = -21x -4 + -21x = 16 + 10x + -10x Combine like terms: 10x + -10x = 0 -4 + -21x = 16 + 0 -4 + -21x = 16 Add '4' to each side of the equation. -4 + 4 + -21x = 16 + 4 Combine like terms: -4 + 4 = 0 0 + -21x = 16 + 4 -21x = 16 + 4 Combine like terms: 16 + 4 = 20 -21x = 20 Divide each side by '-21'. x = -0.9523809524 Simplifying x = -0.9523809524
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