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Simplifying 7(x + -1) + -2(x + 1) = 4x Reorder the terms: 7(-1 + x) + -2(x + 1) = 4x (-1 * 7 + x * 7) + -2(x + 1) = 4x (-7 + 7x) + -2(x + 1) = 4x Reorder the terms: -7 + 7x + -2(1 + x) = 4x -7 + 7x + (1 * -2 + x * -2) = 4x -7 + 7x + (-2 + -2x) = 4x Reorder the terms: -7 + -2 + 7x + -2x = 4x Combine like terms: -7 + -2 = -9 -9 + 7x + -2x = 4x Combine like terms: 7x + -2x = 5x -9 + 5x = 4x Solving -9 + 5x = 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. -9 + 5x + -4x = 4x + -4x Combine like terms: 5x + -4x = 1x -9 + 1x = 4x + -4x Combine like terms: 4x + -4x = 0 -9 + 1x = 0 Add '9' to each side of the equation. -9 + 9 + 1x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = 0 + 9 1x = 0 + 9 Combine like terms: 0 + 9 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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