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Simplifying 2x + -3(x + 2) + (2 + -1x) = 4(x + -6) + 2 Reorder the terms: 2x + -3(2 + x) + (2 + -1x) = 4(x + -6) + 2 2x + (2 * -3 + x * -3) + (2 + -1x) = 4(x + -6) + 2 2x + (-6 + -3x) + (2 + -1x) = 4(x + -6) + 2 Remove parenthesis around (2 + -1x) 2x + -6 + -3x + 2 + -1x = 4(x + -6) + 2 Reorder the terms: -6 + 2 + 2x + -3x + -1x = 4(x + -6) + 2 Combine like terms: -6 + 2 = -4 -4 + 2x + -3x + -1x = 4(x + -6) + 2 Combine like terms: 2x + -3x = -1x -4 + -1x + -1x = 4(x + -6) + 2 Combine like terms: -1x + -1x = -2x -4 + -2x = 4(x + -6) + 2 Reorder the terms: -4 + -2x = 4(-6 + x) + 2 -4 + -2x = (-6 * 4 + x * 4) + 2 -4 + -2x = (-24 + 4x) + 2 Reorder the terms: -4 + -2x = -24 + 2 + 4x Combine like terms: -24 + 2 = -22 -4 + -2x = -22 + 4x Solving -4 + -2x = -22 + 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. -4 + -2x + -4x = -22 + 4x + -4x Combine like terms: -2x + -4x = -6x -4 + -6x = -22 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -6x = -22 + 0 -4 + -6x = -22 Add '4' to each side of the equation. -4 + 4 + -6x = -22 + 4 Combine like terms: -4 + 4 = 0 0 + -6x = -22 + 4 -6x = -22 + 4 Combine like terms: -22 + 4 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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