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Simplifying 2x + 5(x + -4) = 2(6x + 2) + 1 Reorder the terms: 2x + 5(-4 + x) = 2(6x + 2) + 1 2x + (-4 * 5 + x * 5) = 2(6x + 2) + 1 2x + (-20 + 5x) = 2(6x + 2) + 1 Reorder the terms: -20 + 2x + 5x = 2(6x + 2) + 1 Combine like terms: 2x + 5x = 7x -20 + 7x = 2(6x + 2) + 1 Reorder the terms: -20 + 7x = 2(2 + 6x) + 1 -20 + 7x = (2 * 2 + 6x * 2) + 1 -20 + 7x = (4 + 12x) + 1 Reorder the terms: -20 + 7x = 4 + 1 + 12x Combine like terms: 4 + 1 = 5 -20 + 7x = 5 + 12x Solving -20 + 7x = 5 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -20 + 7x + -12x = 5 + 12x + -12x Combine like terms: 7x + -12x = -5x -20 + -5x = 5 + 12x + -12x Combine like terms: 12x + -12x = 0 -20 + -5x = 5 + 0 -20 + -5x = 5 Add '20' to each side of the equation. -20 + 20 + -5x = 5 + 20 Combine like terms: -20 + 20 = 0 0 + -5x = 5 + 20 -5x = 5 + 20 Combine like terms: 5 + 20 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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