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Simplifying 2x + 4(x + -5) = 5x + -2(x + -8) + -6x Reorder the terms: 2x + 4(-5 + x) = 5x + -2(x + -8) + -6x 2x + (-5 * 4 + x * 4) = 5x + -2(x + -8) + -6x 2x + (-20 + 4x) = 5x + -2(x + -8) + -6x Reorder the terms: -20 + 2x + 4x = 5x + -2(x + -8) + -6x Combine like terms: 2x + 4x = 6x -20 + 6x = 5x + -2(x + -8) + -6x Reorder the terms: -20 + 6x = 5x + -2(-8 + x) + -6x -20 + 6x = 5x + (-8 * -2 + x * -2) + -6x -20 + 6x = 5x + (16 + -2x) + -6x Reorder the terms: -20 + 6x = 16 + 5x + -2x + -6x Combine like terms: 5x + -2x = 3x -20 + 6x = 16 + 3x + -6x Combine like terms: 3x + -6x = -3x -20 + 6x = 16 + -3x Solving -20 + 6x = 16 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -20 + 6x + 3x = 16 + -3x + 3x Combine like terms: 6x + 3x = 9x -20 + 9x = 16 + -3x + 3x Combine like terms: -3x + 3x = 0 -20 + 9x = 16 + 0 -20 + 9x = 16 Add '20' to each side of the equation. -20 + 20 + 9x = 16 + 20 Combine like terms: -20 + 20 = 0 0 + 9x = 16 + 20 9x = 16 + 20 Combine like terms: 16 + 20 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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