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Simplifying 4(x + -8) + 12 = 2(x + -5) Reorder the terms: 4(-8 + x) + 12 = 2(x + -5) (-8 * 4 + x * 4) + 12 = 2(x + -5) (-32 + 4x) + 12 = 2(x + -5) Reorder the terms: -32 + 12 + 4x = 2(x + -5) Combine like terms: -32 + 12 = -20 -20 + 4x = 2(x + -5) Reorder the terms: -20 + 4x = 2(-5 + x) -20 + 4x = (-5 * 2 + x * 2) -20 + 4x = (-10 + 2x) Solving -20 + 4x = -10 + 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 + 4x + -2x = -10 + 2x + -2x Combine like terms: 4x + -2x = 2x -20 + 2x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 2x = -10 + 0 -20 + 2x = -10 Add '20' to each side of the equation. -20 + 20 + 2x = -10 + 20 Combine like terms: -20 + 20 = 0 0 + 2x = -10 + 20 2x = -10 + 20 Combine like terms: -10 + 20 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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