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Simplifying 4(x + -8) + 12 = 3x + -6 Reorder the terms: 4(-8 + x) + 12 = 3x + -6 (-8 * 4 + x * 4) + 12 = 3x + -6 (-32 + 4x) + 12 = 3x + -6 Reorder the terms: -32 + 12 + 4x = 3x + -6 Combine like terms: -32 + 12 = -20 -20 + 4x = 3x + -6 Reorder the terms: -20 + 4x = -6 + 3x Solving -20 + 4x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -20 + 4x + -3x = -6 + 3x + -3x Combine like terms: 4x + -3x = 1x -20 + 1x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -20 + 1x = -6 + 0 -20 + 1x = -6 Add '20' to each side of the equation. -20 + 20 + 1x = -6 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = -6 + 20 1x = -6 + 20 Combine like terms: -6 + 20 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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