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Simplifying 2x + 5(x + -4) = 6 + 3(2x + 3) Reorder the terms: 2x + 5(-4 + x) = 6 + 3(2x + 3) 2x + (-4 * 5 + x * 5) = 6 + 3(2x + 3) 2x + (-20 + 5x) = 6 + 3(2x + 3) Reorder the terms: -20 + 2x + 5x = 6 + 3(2x + 3) Combine like terms: 2x + 5x = 7x -20 + 7x = 6 + 3(2x + 3) Reorder the terms: -20 + 7x = 6 + 3(3 + 2x) -20 + 7x = 6 + (3 * 3 + 2x * 3) -20 + 7x = 6 + (9 + 6x) Combine like terms: 6 + 9 = 15 -20 + 7x = 15 + 6x Solving -20 + 7x = 15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -20 + 7x + -6x = 15 + 6x + -6x Combine like terms: 7x + -6x = 1x -20 + 1x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + 1x = 15 + 0 -20 + 1x = 15 Add '20' to each side of the equation. -20 + 20 + 1x = 15 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = 15 + 20 1x = 15 + 20 Combine like terms: 15 + 20 = 35 1x = 35 Divide each side by '1'. x = 35 Simplifying x = 35
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