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Simplifying -7(-3x + 5) + -7x = 4(x + -9) + -4 Reorder the terms: -7(5 + -3x) + -7x = 4(x + -9) + -4 (5 * -7 + -3x * -7) + -7x = 4(x + -9) + -4 (-35 + 21x) + -7x = 4(x + -9) + -4 Combine like terms: 21x + -7x = 14x -35 + 14x = 4(x + -9) + -4 Reorder the terms: -35 + 14x = 4(-9 + x) + -4 -35 + 14x = (-9 * 4 + x * 4) + -4 -35 + 14x = (-36 + 4x) + -4 Reorder the terms: -35 + 14x = -36 + -4 + 4x Combine like terms: -36 + -4 = -40 -35 + 14x = -40 + 4x Solving -35 + 14x = -40 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -35 + 14x + -4x = -40 + 4x + -4x Combine like terms: 14x + -4x = 10x -35 + 10x = -40 + 4x + -4x Combine like terms: 4x + -4x = 0 -35 + 10x = -40 + 0 -35 + 10x = -40 Add '35' to each side of the equation. -35 + 35 + 10x = -40 + 35 Combine like terms: -35 + 35 = 0 0 + 10x = -40 + 35 10x = -40 + 35 Combine like terms: -40 + 35 = -5 10x = -5 Divide each side by '10'. x = -0.5 Simplifying x = -0.5
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