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Simplifying 2x + -3(-3x + -11) = 3 + -3(3x + 22) Reorder the terms: 2x + -3(-11 + -3x) = 3 + -3(3x + 22) 2x + (-11 * -3 + -3x * -3) = 3 + -3(3x + 22) 2x + (33 + 9x) = 3 + -3(3x + 22) Reorder the terms: 33 + 2x + 9x = 3 + -3(3x + 22) Combine like terms: 2x + 9x = 11x 33 + 11x = 3 + -3(3x + 22) Reorder the terms: 33 + 11x = 3 + -3(22 + 3x) 33 + 11x = 3 + (22 * -3 + 3x * -3) 33 + 11x = 3 + (-66 + -9x) Combine like terms: 3 + -66 = -63 33 + 11x = -63 + -9x Solving 33 + 11x = -63 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 33 + 11x + 9x = -63 + -9x + 9x Combine like terms: 11x + 9x = 20x 33 + 20x = -63 + -9x + 9x Combine like terms: -9x + 9x = 0 33 + 20x = -63 + 0 33 + 20x = -63 Add '-33' to each side of the equation. 33 + -33 + 20x = -63 + -33 Combine like terms: 33 + -33 = 0 0 + 20x = -63 + -33 20x = -63 + -33 Combine like terms: -63 + -33 = -96 20x = -96 Divide each side by '20'. x = -4.8 Simplifying x = -4.8
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