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Simplifying 5x + -1(7 + -4x) = 2(3x + 4) 5x + (7 * -1 + -4x * -1) = 2(3x + 4) 5x + (-7 + 4x) = 2(3x + 4) Reorder the terms: -7 + 5x + 4x = 2(3x + 4) Combine like terms: 5x + 4x = 9x -7 + 9x = 2(3x + 4) Reorder the terms: -7 + 9x = 2(4 + 3x) -7 + 9x = (4 * 2 + 3x * 2) -7 + 9x = (8 + 6x) Solving -7 + 9x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -7 + 9x + -6x = 8 + 6x + -6x Combine like terms: 9x + -6x = 3x -7 + 3x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + 3x = 8 + 0 -7 + 3x = 8 Add '7' to each side of the equation. -7 + 7 + 3x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 8 + 7 3x = 8 + 7 Combine like terms: 8 + 7 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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