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Simplifying 4x + -35 = -4(-8x + -7) + -7x Reorder the terms: -35 + 4x = -4(-8x + -7) + -7x Reorder the terms: -35 + 4x = -4(-7 + -8x) + -7x -35 + 4x = (-7 * -4 + -8x * -4) + -7x -35 + 4x = (28 + 32x) + -7x Combine like terms: 32x + -7x = 25x -35 + 4x = 28 + 25x Solving -35 + 4x = 28 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -35 + 4x + -25x = 28 + 25x + -25x Combine like terms: 4x + -25x = -21x -35 + -21x = 28 + 25x + -25x Combine like terms: 25x + -25x = 0 -35 + -21x = 28 + 0 -35 + -21x = 28 Add '35' to each side of the equation. -35 + 35 + -21x = 28 + 35 Combine like terms: -35 + 35 = 0 0 + -21x = 28 + 35 -21x = 28 + 35 Combine like terms: 28 + 35 = 63 -21x = 63 Divide each side by '-21'. x = -3 Simplifying x = -3
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