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Simplifying 6(x + -1) + 3(x + -1) + -5(x + -1) = 12 Reorder the terms: 6(-1 + x) + 3(x + -1) + -5(x + -1) = 12 (-1 * 6 + x * 6) + 3(x + -1) + -5(x + -1) = 12 (-6 + 6x) + 3(x + -1) + -5(x + -1) = 12 Reorder the terms: -6 + 6x + 3(-1 + x) + -5(x + -1) = 12 -6 + 6x + (-1 * 3 + x * 3) + -5(x + -1) = 12 -6 + 6x + (-3 + 3x) + -5(x + -1) = 12 Reorder the terms: -6 + 6x + -3 + 3x + -5(-1 + x) = 12 -6 + 6x + -3 + 3x + (-1 * -5 + x * -5) = 12 -6 + 6x + -3 + 3x + (5 + -5x) = 12 Reorder the terms: -6 + -3 + 5 + 6x + 3x + -5x = 12 Combine like terms: -6 + -3 = -9 -9 + 5 + 6x + 3x + -5x = 12 Combine like terms: -9 + 5 = -4 -4 + 6x + 3x + -5x = 12 Combine like terms: 6x + 3x = 9x -4 + 9x + -5x = 12 Combine like terms: 9x + -5x = 4x -4 + 4x = 12 Solving -4 + 4x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 4x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 12 + 4 4x = 12 + 4 Combine like terms: 12 + 4 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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