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Simplifying 2x + -9 = 3(2x + -11) Reorder the terms: -9 + 2x = 3(2x + -11) Reorder the terms: -9 + 2x = 3(-11 + 2x) -9 + 2x = (-11 * 3 + 2x * 3) -9 + 2x = (-33 + 6x) Solving -9 + 2x = -33 + 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. -9 + 2x + -6x = -33 + 6x + -6x Combine like terms: 2x + -6x = -4x -9 + -4x = -33 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + -4x = -33 + 0 -9 + -4x = -33 Add '9' to each side of the equation. -9 + 9 + -4x = -33 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = -33 + 9 -4x = -33 + 9 Combine like terms: -33 + 9 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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