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Simplifying 2x + 4(x + -5) = 2(x + -8) Reorder the terms: 2x + 4(-5 + x) = 2(x + -8) 2x + (-5 * 4 + x * 4) = 2(x + -8) 2x + (-20 + 4x) = 2(x + -8) Reorder the terms: -20 + 2x + 4x = 2(x + -8) Combine like terms: 2x + 4x = 6x -20 + 6x = 2(x + -8) Reorder the terms: -20 + 6x = 2(-8 + x) -20 + 6x = (-8 * 2 + x * 2) -20 + 6x = (-16 + 2x) Solving -20 + 6x = -16 + 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 + 6x + -2x = -16 + 2x + -2x Combine like terms: 6x + -2x = 4x -20 + 4x = -16 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 4x = -16 + 0 -20 + 4x = -16 Add '20' to each side of the equation. -20 + 20 + 4x = -16 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = -16 + 20 4x = -16 + 20 Combine like terms: -16 + 20 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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