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Simplifying 3x + -3(2x + -9) = 5(3x + -8) + 7x Reorder the terms: 3x + -3(-9 + 2x) = 5(3x + -8) + 7x 3x + (-9 * -3 + 2x * -3) = 5(3x + -8) + 7x 3x + (27 + -6x) = 5(3x + -8) + 7x Reorder the terms: 27 + 3x + -6x = 5(3x + -8) + 7x Combine like terms: 3x + -6x = -3x 27 + -3x = 5(3x + -8) + 7x Reorder the terms: 27 + -3x = 5(-8 + 3x) + 7x 27 + -3x = (-8 * 5 + 3x * 5) + 7x 27 + -3x = (-40 + 15x) + 7x Combine like terms: 15x + 7x = 22x 27 + -3x = -40 + 22x Solving 27 + -3x = -40 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 27 + -3x + -22x = -40 + 22x + -22x Combine like terms: -3x + -22x = -25x 27 + -25x = -40 + 22x + -22x Combine like terms: 22x + -22x = 0 27 + -25x = -40 + 0 27 + -25x = -40 Add '-27' to each side of the equation. 27 + -27 + -25x = -40 + -27 Combine like terms: 27 + -27 = 0 0 + -25x = -40 + -27 -25x = -40 + -27 Combine like terms: -40 + -27 = -67 -25x = -67 Divide each side by '-25'. x = 2.68 Simplifying x = 2.68
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