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Simplifying 7(x + -1) = 6(x + 4) Reorder the terms: 7(-1 + x) = 6(x + 4) (-1 * 7 + x * 7) = 6(x + 4) (-7 + 7x) = 6(x + 4) Reorder the terms: -7 + 7x = 6(4 + x) -7 + 7x = (4 * 6 + x * 6) -7 + 7x = (24 + 6x) Solving -7 + 7x = 24 + 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. -7 + 7x + -6x = 24 + 6x + -6x Combine like terms: 7x + -6x = 1x -7 + 1x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + 1x = 24 + 0 -7 + 1x = 24 Add '7' to each side of the equation. -7 + 7 + 1x = 24 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 24 + 7 1x = 24 + 7 Combine like terms: 24 + 7 = 31 1x = 31 Divide each side by '1'. x = 31 Simplifying x = 31
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