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Simplifying 7(x + -1) = 3(3 + -1x) + 4x Reorder the terms: 7(-1 + x) = 3(3 + -1x) + 4x (-1 * 7 + x * 7) = 3(3 + -1x) + 4x (-7 + 7x) = 3(3 + -1x) + 4x -7 + 7x = (3 * 3 + -1x * 3) + 4x -7 + 7x = (9 + -3x) + 4x Combine like terms: -3x + 4x = 1x -7 + 7x = 9 + 1x Solving -7 + 7x = 9 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7 + 7x + -1x = 9 + 1x + -1x Combine like terms: 7x + -1x = 6x -7 + 6x = 9 + 1x + -1x Combine like terms: 1x + -1x = 0 -7 + 6x = 9 + 0 -7 + 6x = 9 Add '7' to each side of the equation. -7 + 7 + 6x = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 6x = 9 + 7 6x = 9 + 7 Combine like terms: 9 + 7 = 16 6x = 16 Divide each side by '6'. x = 2.666666667 Simplifying x = 2.666666667
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