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Simplifying -7(x + -5) + -7 = -4(2x + -7) Reorder the terms: -7(-5 + x) + -7 = -4(2x + -7) (-5 * -7 + x * -7) + -7 = -4(2x + -7) (35 + -7x) + -7 = -4(2x + -7) Reorder the terms: 35 + -7 + -7x = -4(2x + -7) Combine like terms: 35 + -7 = 28 28 + -7x = -4(2x + -7) Reorder the terms: 28 + -7x = -4(-7 + 2x) 28 + -7x = (-7 * -4 + 2x * -4) 28 + -7x = (28 + -8x) Add '-28' to each side of the equation. 28 + -28 + -7x = 28 + -28 + -8x Combine like terms: 28 + -28 = 0 0 + -7x = 28 + -28 + -8x -7x = 28 + -28 + -8x Combine like terms: 28 + -28 = 0 -7x = 0 + -8x -7x = -8x Solving -7x = -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -7x + 8x = -8x + 8x Combine like terms: -7x + 8x = 1x 1x = -8x + 8x Combine like terms: -8x + 8x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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