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Simplifying x + 7(x + -1) = -3(x + -1) + 7x Reorder the terms: x + 7(-1 + x) = -3(x + -1) + 7x x + (-1 * 7 + x * 7) = -3(x + -1) + 7x x + (-7 + 7x) = -3(x + -1) + 7x Reorder the terms: -7 + x + 7x = -3(x + -1) + 7x Combine like terms: x + 7x = 8x -7 + 8x = -3(x + -1) + 7x Reorder the terms: -7 + 8x = -3(-1 + x) + 7x -7 + 8x = (-1 * -3 + x * -3) + 7x -7 + 8x = (3 + -3x) + 7x Combine like terms: -3x + 7x = 4x -7 + 8x = 3 + 4x Solving -7 + 8x = 3 + 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. -7 + 8x + -4x = 3 + 4x + -4x Combine like terms: 8x + -4x = 4x -7 + 4x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + 4x = 3 + 0 -7 + 4x = 3 Add '7' to each side of the equation. -7 + 7 + 4x = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 3 + 7 4x = 3 + 7 Combine like terms: 3 + 7 = 10 4x = 10 Divide each side by '4'. x = 2.5 Simplifying x = 2.5
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