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Simplifying 3x + -2(3x + -9) = 5(2x + -7) + 7x Reorder the terms: 3x + -2(-9 + 3x) = 5(2x + -7) + 7x 3x + (-9 * -2 + 3x * -2) = 5(2x + -7) + 7x 3x + (18 + -6x) = 5(2x + -7) + 7x Reorder the terms: 18 + 3x + -6x = 5(2x + -7) + 7x Combine like terms: 3x + -6x = -3x 18 + -3x = 5(2x + -7) + 7x Reorder the terms: 18 + -3x = 5(-7 + 2x) + 7x 18 + -3x = (-7 * 5 + 2x * 5) + 7x 18 + -3x = (-35 + 10x) + 7x Combine like terms: 10x + 7x = 17x 18 + -3x = -35 + 17x Solving 18 + -3x = -35 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 18 + -3x + -17x = -35 + 17x + -17x Combine like terms: -3x + -17x = -20x 18 + -20x = -35 + 17x + -17x Combine like terms: 17x + -17x = 0 18 + -20x = -35 + 0 18 + -20x = -35 Add '-18' to each side of the equation. 18 + -18 + -20x = -35 + -18 Combine like terms: 18 + -18 = 0 0 + -20x = -35 + -18 -20x = -35 + -18 Combine like terms: -35 + -18 = -53 -20x = -53 Divide each side by '-20'. x = 2.65 Simplifying x = 2.65
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