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Simplifying 2x + -6 + -3(x + 1) = 2x + -2 Reorder the terms: 2x + -6 + -3(1 + x) = 2x + -2 2x + -6 + (1 * -3 + x * -3) = 2x + -2 2x + -6 + (-3 + -3x) = 2x + -2 Reorder the terms: -6 + -3 + 2x + -3x = 2x + -2 Combine like terms: -6 + -3 = -9 -9 + 2x + -3x = 2x + -2 Combine like terms: 2x + -3x = -1x -9 + -1x = 2x + -2 Reorder the terms: -9 + -1x = -2 + 2x Solving -9 + -1x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -9 + -1x + -2x = -2 + 2x + -2x Combine like terms: -1x + -2x = -3x -9 + -3x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + -3x = -2 + 0 -9 + -3x = -2 Add '9' to each side of the equation. -9 + 9 + -3x = -2 + 9 Combine like terms: -9 + 9 = 0 0 + -3x = -2 + 9 -3x = -2 + 9 Combine like terms: -2 + 9 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333
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