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Simplifying 9(2x + -9) + 11 = 3x + -2 Reorder the terms: 9(-9 + 2x) + 11 = 3x + -2 (-9 * 9 + 2x * 9) + 11 = 3x + -2 (-81 + 18x) + 11 = 3x + -2 Reorder the terms: -81 + 11 + 18x = 3x + -2 Combine like terms: -81 + 11 = -70 -70 + 18x = 3x + -2 Reorder the terms: -70 + 18x = -2 + 3x Solving -70 + 18x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -70 + 18x + -3x = -2 + 3x + -3x Combine like terms: 18x + -3x = 15x -70 + 15x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -70 + 15x = -2 + 0 -70 + 15x = -2 Add '70' to each side of the equation. -70 + 70 + 15x = -2 + 70 Combine like terms: -70 + 70 = 0 0 + 15x = -2 + 70 15x = -2 + 70 Combine like terms: -2 + 70 = 68 15x = 68 Divide each side by '15'. x = 4.533333333 Simplifying x = 4.533333333
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