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Simplifying -4x + 4 = -7(x + -4) Reorder the terms: 4 + -4x = -7(x + -4) Reorder the terms: 4 + -4x = -7(-4 + x) 4 + -4x = (-4 * -7 + x * -7) 4 + -4x = (28 + -7x) Solving 4 + -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. 4 + -4x + 7x = 28 + -7x + 7x Combine like terms: -4x + 7x = 3x 4 + 3x = 28 + -7x + 7x Combine like terms: -7x + 7x = 0 4 + 3x = 28 + 0 4 + 3x = 28 Add '-4' to each side of the equation. 4 + -4 + 3x = 28 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 28 + -4 3x = 28 + -4 Combine like terms: 28 + -4 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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