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Simplifying 6(x + -4) + (x + -1) = 4(x + -1) Reorder the terms: 6(-4 + x) + (x + -1) = 4(x + -1) (-4 * 6 + x * 6) + (x + -1) = 4(x + -1) (-24 + 6x) + (x + -1) = 4(x + -1) Reorder the terms: -24 + 6x + (-1 + x) = 4(x + -1) Remove parenthesis around (-1 + x) -24 + 6x + -1 + x = 4(x + -1) Reorder the terms: -24 + -1 + 6x + x = 4(x + -1) Combine like terms: -24 + -1 = -25 -25 + 6x + x = 4(x + -1) Combine like terms: 6x + x = 7x -25 + 7x = 4(x + -1) Reorder the terms: -25 + 7x = 4(-1 + x) -25 + 7x = (-1 * 4 + x * 4) -25 + 7x = (-4 + 4x) Solving -25 + 7x = -4 + 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. -25 + 7x + -4x = -4 + 4x + -4x Combine like terms: 7x + -4x = 3x -25 + 3x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 -25 + 3x = -4 + 0 -25 + 3x = -4 Add '25' to each side of the equation. -25 + 25 + 3x = -4 + 25 Combine like terms: -25 + 25 = 0 0 + 3x = -4 + 25 3x = -4 + 25 Combine like terms: -4 + 25 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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