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