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Simplifying 4(x + -8) + 2 = 2(x + -4) Reorder the terms: 4(-8 + x) + 2 = 2(x + -4) (-8 * 4 + x * 4) + 2 = 2(x + -4) (-32 + 4x) + 2 = 2(x + -4) Reorder the terms: -32 + 2 + 4x = 2(x + -4) Combine like terms: -32 + 2 = -30 -30 + 4x = 2(x + -4) Reorder the terms: -30 + 4x = 2(-4 + x) -30 + 4x = (-4 * 2 + x * 2) -30 + 4x = (-8 + 2x) Solving -30 + 4x = -8 + 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. -30 + 4x + -2x = -8 + 2x + -2x Combine like terms: 4x + -2x = 2x -30 + 2x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -30 + 2x = -8 + 0 -30 + 2x = -8 Add '30' to each side of the equation. -30 + 30 + 2x = -8 + 30 Combine like terms: -30 + 30 = 0 0 + 2x = -8 + 30 2x = -8 + 30 Combine like terms: -8 + 30 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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