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Simplifying 3(x + -8) + 4 = 2x + -12 Reorder the terms: 3(-8 + x) + 4 = 2x + -12 (-8 * 3 + x * 3) + 4 = 2x + -12 (-24 + 3x) + 4 = 2x + -12 Reorder the terms: -24 + 4 + 3x = 2x + -12 Combine like terms: -24 + 4 = -20 -20 + 3x = 2x + -12 Reorder the terms: -20 + 3x = -12 + 2x Solving -20 + 3x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -20 + 3x + -2x = -12 + 2x + -2x Combine like terms: 3x + -2x = 1x -20 + 1x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 1x = -12 + 0 -20 + 1x = -12 Add '20' to each side of the equation. -20 + 20 + 1x = -12 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = -12 + 20 1x = -12 + 20 Combine like terms: -12 + 20 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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