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Simplifying 3(x + -4) + 8 = x + 6 Reorder the terms: 3(-4 + x) + 8 = x + 6 (-4 * 3 + x * 3) + 8 = x + 6 (-12 + 3x) + 8 = x + 6 Reorder the terms: -12 + 8 + 3x = x + 6 Combine like terms: -12 + 8 = -4 -4 + 3x = x + 6 Reorder the terms: -4 + 3x = 6 + x Solving -4 + 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. -4 + 3x + -1x = 6 + x + -1x Combine like terms: 3x + -1x = 2x -4 + 2x = 6 + x + -1x Combine like terms: x + -1x = 0 -4 + 2x = 6 + 0 -4 + 2x = 6 Add '4' to each side of the equation. -4 + 4 + 2x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 6 + 4 2x = 6 + 4 Combine like terms: 6 + 4 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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