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Simplifying 2(5x + -4) + 7(x + 1) = 33 Reorder the terms: 2(-4 + 5x) + 7(x + 1) = 33 (-4 * 2 + 5x * 2) + 7(x + 1) = 33 (-8 + 10x) + 7(x + 1) = 33 Reorder the terms: -8 + 10x + 7(1 + x) = 33 -8 + 10x + (1 * 7 + x * 7) = 33 -8 + 10x + (7 + 7x) = 33 Reorder the terms: -8 + 7 + 10x + 7x = 33 Combine like terms: -8 + 7 = -1 -1 + 10x + 7x = 33 Combine like terms: 10x + 7x = 17x -1 + 17x = 33 Solving -1 + 17x = 33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 17x = 33 + 1 Combine like terms: -1 + 1 = 0 0 + 17x = 33 + 1 17x = 33 + 1 Combine like terms: 33 + 1 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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