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Simplifying -2x + 3(x + -4) + 8 + -3x = 2 Reorder the terms: -2x + 3(-4 + x) + 8 + -3x = 2 -2x + (-4 * 3 + x * 3) + 8 + -3x = 2 -2x + (-12 + 3x) + 8 + -3x = 2 Reorder the terms: -12 + 8 + -2x + 3x + -3x = 2 Combine like terms: -12 + 8 = -4 -4 + -2x + 3x + -3x = 2 Combine like terms: -2x + 3x = 1x -4 + 1x + -3x = 2 Combine like terms: 1x + -3x = -2x -4 + -2x = 2 Solving -4 + -2x = 2 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 + -2x = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = 2 + 4 -2x = 2 + 4 Combine like terms: 2 + 4 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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