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Simplifying 7x + -1(4x + -8) + -1(-7x + 1) = 0 Reorder the terms: 7x + -1(-8 + 4x) + -1(-7x + 1) = 0 7x + (-8 * -1 + 4x * -1) + -1(-7x + 1) = 0 7x + (8 + -4x) + -1(-7x + 1) = 0 Reorder the terms: 7x + 8 + -4x + -1(1 + -7x) = 0 7x + 8 + -4x + (1 * -1 + -7x * -1) = 0 7x + 8 + -4x + (-1 + 7x) = 0 Reorder the terms: 8 + -1 + 7x + -4x + 7x = 0 Combine like terms: 8 + -1 = 7 7 + 7x + -4x + 7x = 0 Combine like terms: 7x + -4x = 3x 7 + 3x + 7x = 0 Combine like terms: 3x + 7x = 10x 7 + 10x = 0 Solving 7 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 10x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 10x = 0 + -7 10x = 0 + -7 Combine like terms: 0 + -7 = -7 10x = -7 Divide each side by '10'. x = -0.7 Simplifying x = -0.7
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