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Simplifying 7(x + -1) + 4 = 5 + 6x Reorder the terms: 7(-1 + x) + 4 = 5 + 6x (-1 * 7 + x * 7) + 4 = 5 + 6x (-7 + 7x) + 4 = 5 + 6x Reorder the terms: -7 + 4 + 7x = 5 + 6x Combine like terms: -7 + 4 = -3 -3 + 7x = 5 + 6x Solving -3 + 7x = 5 + 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. -3 + 7x + -6x = 5 + 6x + -6x Combine like terms: 7x + -6x = 1x -3 + 1x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + 1x = 5 + 0 -3 + 1x = 5 Add '3' to each side of the equation. -3 + 3 + 1x = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 5 + 3 1x = 5 + 3 Combine like terms: 5 + 3 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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