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Simplifying -5(x + -7) + x = 7(-4 + -1x) Reorder the terms: -5(-7 + x) + x = 7(-4 + -1x) (-7 * -5 + x * -5) + x = 7(-4 + -1x) (35 + -5x) + x = 7(-4 + -1x) Combine like terms: -5x + x = -4x 35 + -4x = 7(-4 + -1x) 35 + -4x = (-4 * 7 + -1x * 7) 35 + -4x = (-28 + -7x) Solving 35 + -4x = -28 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 35 + -4x + 7x = -28 + -7x + 7x Combine like terms: -4x + 7x = 3x 35 + 3x = -28 + -7x + 7x Combine like terms: -7x + 7x = 0 35 + 3x = -28 + 0 35 + 3x = -28 Add '-35' to each side of the equation. 35 + -35 + 3x = -28 + -35 Combine like terms: 35 + -35 = 0 0 + 3x = -28 + -35 3x = -28 + -35 Combine like terms: -28 + -35 = -63 3x = -63 Divide each side by '3'. x = -21 Simplifying x = -21
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