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Simplifying 2 + -1x + 3(x + -4) = x + 2 Reorder the terms: 2 + -1x + 3(-4 + x) = x + 2 2 + -1x + (-4 * 3 + x * 3) = x + 2 2 + -1x + (-12 + 3x) = x + 2 Reorder the terms: 2 + -12 + -1x + 3x = x + 2 Combine like terms: 2 + -12 = -10 -10 + -1x + 3x = x + 2 Combine like terms: -1x + 3x = 2x -10 + 2x = x + 2 Reorder the terms: -10 + 2x = 2 + x Solving -10 + 2x = 2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -10 + 2x + -1x = 2 + x + -1x Combine like terms: 2x + -1x = 1x -10 + 1x = 2 + x + -1x Combine like terms: x + -1x = 0 -10 + 1x = 2 + 0 -10 + 1x = 2 Add '10' to each side of the equation. -10 + 10 + 1x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 2 + 10 1x = 2 + 10 Combine like terms: 2 + 10 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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