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Simplifying 4(x + -8) + 16 = 2(x + -4) Reorder the terms: 4(-8 + x) + 16 = 2(x + -4) (-8 * 4 + x * 4) + 16 = 2(x + -4) (-32 + 4x) + 16 = 2(x + -4) Reorder the terms: -32 + 16 + 4x = 2(x + -4) Combine like terms: -32 + 16 = -16 -16 + 4x = 2(x + -4) Reorder the terms: -16 + 4x = 2(-4 + x) -16 + 4x = (-4 * 2 + x * 2) -16 + 4x = (-8 + 2x) Solving -16 + 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. -16 + 4x + -2x = -8 + 2x + -2x Combine like terms: 4x + -2x = 2x -16 + 2x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -16 + 2x = -8 + 0 -16 + 2x = -8 Add '16' to each side of the equation. -16 + 16 + 2x = -8 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = -8 + 16 2x = -8 + 16 Combine like terms: -8 + 16 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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