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Simplifying (-4x + 7) + -1(-7x + -8) = 0 Reorder the terms: (7 + -4x) + -1(-7x + -8) = 0 Remove parenthesis around (7 + -4x) 7 + -4x + -1(-7x + -8) = 0 Reorder the terms: 7 + -4x + -1(-8 + -7x) = 0 7 + -4x + (-8 * -1 + -7x * -1) = 0 7 + -4x + (8 + 7x) = 0 Reorder the terms: 7 + 8 + -4x + 7x = 0 Combine like terms: 7 + 8 = 15 15 + -4x + 7x = 0 Combine like terms: -4x + 7x = 3x 15 + 3x = 0 Solving 15 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 3x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = 0 + -15 3x = 0 + -15 Combine like terms: 0 + -15 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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