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