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Simplifying 6x + -1(x + 4) = 3(2x + -1) Reorder the terms: 6x + -1(4 + x) = 3(2x + -1) 6x + (4 * -1 + x * -1) = 3(2x + -1) 6x + (-4 + -1x) = 3(2x + -1) Reorder the terms: -4 + 6x + -1x = 3(2x + -1) Combine like terms: 6x + -1x = 5x -4 + 5x = 3(2x + -1) Reorder the terms: -4 + 5x = 3(-1 + 2x) -4 + 5x = (-1 * 3 + 2x * 3) -4 + 5x = (-3 + 6x) Solving -4 + 5x = -3 + 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. -4 + 5x + -6x = -3 + 6x + -6x Combine like terms: 5x + -6x = -1x -4 + -1x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -1x = -3 + 0 -4 + -1x = -3 Add '4' to each side of the equation. -4 + 4 + -1x = -3 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -3 + 4 -1x = -3 + 4 Combine like terms: -3 + 4 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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