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Simplifying 5 + -1(x + 7) + 4x = -7(x + -1) Reorder the terms: 5 + -1(7 + x) + 4x = -7(x + -1) 5 + (7 * -1 + x * -1) + 4x = -7(x + -1) 5 + (-7 + -1x) + 4x = -7(x + -1) Combine like terms: 5 + -7 = -2 -2 + -1x + 4x = -7(x + -1) Combine like terms: -1x + 4x = 3x -2 + 3x = -7(x + -1) Reorder the terms: -2 + 3x = -7(-1 + x) -2 + 3x = (-1 * -7 + x * -7) -2 + 3x = (7 + -7x) Solving -2 + 3x = 7 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -2 + 3x + 7x = 7 + -7x + 7x Combine like terms: 3x + 7x = 10x -2 + 10x = 7 + -7x + 7x Combine like terms: -7x + 7x = 0 -2 + 10x = 7 + 0 -2 + 10x = 7 Add '2' to each side of the equation. -2 + 2 + 10x = 7 + 2 Combine like terms: -2 + 2 = 0 0 + 10x = 7 + 2 10x = 7 + 2 Combine like terms: 7 + 2 = 9 10x = 9 Divide each side by '10'. x = 0.9 Simplifying x = 0.9
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