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Simplifying 2x + -3(3x + -8) = 2(3x + -9) + 5x Reorder the terms: 2x + -3(-8 + 3x) = 2(3x + -9) + 5x 2x + (-8 * -3 + 3x * -3) = 2(3x + -9) + 5x 2x + (24 + -9x) = 2(3x + -9) + 5x Reorder the terms: 24 + 2x + -9x = 2(3x + -9) + 5x Combine like terms: 2x + -9x = -7x 24 + -7x = 2(3x + -9) + 5x Reorder the terms: 24 + -7x = 2(-9 + 3x) + 5x 24 + -7x = (-9 * 2 + 3x * 2) + 5x 24 + -7x = (-18 + 6x) + 5x Combine like terms: 6x + 5x = 11x 24 + -7x = -18 + 11x Solving 24 + -7x = -18 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 24 + -7x + -11x = -18 + 11x + -11x Combine like terms: -7x + -11x = -18x 24 + -18x = -18 + 11x + -11x Combine like terms: 11x + -11x = 0 24 + -18x = -18 + 0 24 + -18x = -18 Add '-24' to each side of the equation. 24 + -24 + -18x = -18 + -24 Combine like terms: 24 + -24 = 0 0 + -18x = -18 + -24 -18x = -18 + -24 Combine like terms: -18 + -24 = -42 -18x = -42 Divide each side by '-18'. x = 2.333333333 Simplifying x = 2.333333333
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