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Simplifying 3(x + -4) + 2 = x + 6 Reorder the terms: 3(-4 + x) + 2 = x + 6 (-4 * 3 + x * 3) + 2 = x + 6 (-12 + 3x) + 2 = x + 6 Reorder the terms: -12 + 2 + 3x = x + 6 Combine like terms: -12 + 2 = -10 -10 + 3x = x + 6 Reorder the terms: -10 + 3x = 6 + x Solving -10 + 3x = 6 + 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 + 3x + -1x = 6 + x + -1x Combine like terms: 3x + -1x = 2x -10 + 2x = 6 + x + -1x Combine like terms: x + -1x = 0 -10 + 2x = 6 + 0 -10 + 2x = 6 Add '10' to each side of the equation. -10 + 10 + 2x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 6 + 10 2x = 6 + 10 Combine like terms: 6 + 10 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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