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Simplifying 2x + -3(2x + -8) = 3(3x + -9) + 7x Reorder the terms: 2x + -3(-8 + 2x) = 3(3x + -9) + 7x 2x + (-8 * -3 + 2x * -3) = 3(3x + -9) + 7x 2x + (24 + -6x) = 3(3x + -9) + 7x Reorder the terms: 24 + 2x + -6x = 3(3x + -9) + 7x Combine like terms: 2x + -6x = -4x 24 + -4x = 3(3x + -9) + 7x Reorder the terms: 24 + -4x = 3(-9 + 3x) + 7x 24 + -4x = (-9 * 3 + 3x * 3) + 7x 24 + -4x = (-27 + 9x) + 7x Combine like terms: 9x + 7x = 16x 24 + -4x = -27 + 16x Solving 24 + -4x = -27 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 24 + -4x + -16x = -27 + 16x + -16x Combine like terms: -4x + -16x = -20x 24 + -20x = -27 + 16x + -16x Combine like terms: 16x + -16x = 0 24 + -20x = -27 + 0 24 + -20x = -27 Add '-24' to each side of the equation. 24 + -24 + -20x = -27 + -24 Combine like terms: 24 + -24 = 0 0 + -20x = -27 + -24 -20x = -27 + -24 Combine like terms: -27 + -24 = -51 -20x = -51 Divide each side by '-20'. x = 2.55 Simplifying x = 2.55
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