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Simplifying 2(2x + -11) + x = 7x + -33 Reorder the terms: 2(-11 + 2x) + x = 7x + -33 (-11 * 2 + 2x * 2) + x = 7x + -33 (-22 + 4x) + x = 7x + -33 Combine like terms: 4x + x = 5x -22 + 5x = 7x + -33 Reorder the terms: -22 + 5x = -33 + 7x Solving -22 + 5x = -33 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -22 + 5x + -7x = -33 + 7x + -7x Combine like terms: 5x + -7x = -2x -22 + -2x = -33 + 7x + -7x Combine like terms: 7x + -7x = 0 -22 + -2x = -33 + 0 -22 + -2x = -33 Add '22' to each side of the equation. -22 + 22 + -2x = -33 + 22 Combine like terms: -22 + 22 = 0 0 + -2x = -33 + 22 -2x = -33 + 22 Combine like terms: -33 + 22 = -11 -2x = -11 Divide each side by '-2'. x = 5.5 Simplifying x = 5.5
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