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Simplifying 2x + 3(x + -1) = 6(x + 4) Reorder the terms: 2x + 3(-1 + x) = 6(x + 4) 2x + (-1 * 3 + x * 3) = 6(x + 4) 2x + (-3 + 3x) = 6(x + 4) Reorder the terms: -3 + 2x + 3x = 6(x + 4) Combine like terms: 2x + 3x = 5x -3 + 5x = 6(x + 4) Reorder the terms: -3 + 5x = 6(4 + x) -3 + 5x = (4 * 6 + x * 6) -3 + 5x = (24 + 6x) Solving -3 + 5x = 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. -3 + 5x + -6x = 24 + 6x + -6x Combine like terms: 5x + -6x = -1x -3 + -1x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -1x = 24 + 0 -3 + -1x = 24 Add '3' to each side of the equation. -3 + 3 + -1x = 24 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 24 + 3 -1x = 24 + 3 Combine like terms: 24 + 3 = 27 -1x = 27 Divide each side by '-1'. x = -27 Simplifying x = -27
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