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Simplifying -6 = -3(x + 1) + -1(6 + 2x) Reorder the terms: -6 = -3(1 + x) + -1(6 + 2x) -6 = (1 * -3 + x * -3) + -1(6 + 2x) -6 = (-3 + -3x) + -1(6 + 2x) -6 = -3 + -3x + (6 * -1 + 2x * -1) -6 = -3 + -3x + (-6 + -2x) Reorder the terms: -6 = -3 + -6 + -3x + -2x Combine like terms: -3 + -6 = -9 -6 = -9 + -3x + -2x Combine like terms: -3x + -2x = -5x -6 = -9 + -5x Solving -6 = -9 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -6 + 5x = -9 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + 5x = -9 + 0 -6 + 5x = -9 Add '6' to each side of the equation. -6 + 6 + 5x = -9 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = -9 + 6 5x = -9 + 6 Combine like terms: -9 + 6 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6
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