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Simplifying 2x + -3(x + 2) = 2 + -4(x + -1) Reorder the terms: 2x + -3(2 + x) = 2 + -4(x + -1) 2x + (2 * -3 + x * -3) = 2 + -4(x + -1) 2x + (-6 + -3x) = 2 + -4(x + -1) Reorder the terms: -6 + 2x + -3x = 2 + -4(x + -1) Combine like terms: 2x + -3x = -1x -6 + -1x = 2 + -4(x + -1) Reorder the terms: -6 + -1x = 2 + -4(-1 + x) -6 + -1x = 2 + (-1 * -4 + x * -4) -6 + -1x = 2 + (4 + -4x) Combine like terms: 2 + 4 = 6 -6 + -1x = 6 + -4x Solving -6 + -1x = 6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -6 + -1x + 4x = 6 + -4x + 4x Combine like terms: -1x + 4x = 3x -6 + 3x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 3x = 6 + 0 -6 + 3x = 6 Add '6' to each side of the equation. -6 + 6 + 3x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 6 + 6 3x = 6 + 6 Combine like terms: 6 + 6 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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