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Simplifying 7x + -1(3x + 1) = 5 + -1(4x + -8) Reorder the terms: 7x + -1(1 + 3x) = 5 + -1(4x + -8) 7x + (1 * -1 + 3x * -1) = 5 + -1(4x + -8) 7x + (-1 + -3x) = 5 + -1(4x + -8) Reorder the terms: -1 + 7x + -3x = 5 + -1(4x + -8) Combine like terms: 7x + -3x = 4x -1 + 4x = 5 + -1(4x + -8) Reorder the terms: -1 + 4x = 5 + -1(-8 + 4x) -1 + 4x = 5 + (-8 * -1 + 4x * -1) -1 + 4x = 5 + (8 + -4x) Combine like terms: 5 + 8 = 13 -1 + 4x = 13 + -4x Solving -1 + 4x = 13 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -1 + 4x + 4x = 13 + -4x + 4x Combine like terms: 4x + 4x = 8x -1 + 8x = 13 + -4x + 4x Combine like terms: -4x + 4x = 0 -1 + 8x = 13 + 0 -1 + 8x = 13 Add '1' to each side of the equation. -1 + 1 + 8x = 13 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = 13 + 1 8x = 13 + 1 Combine like terms: 13 + 1 = 14 8x = 14 Divide each side by '8'. x = 1.75 Simplifying x = 1.75
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