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Simplifying 4x + -3(2x + -8) = 3(3x + -9) + 8x Reorder the terms: 4x + -3(-8 + 2x) = 3(3x + -9) + 8x 4x + (-8 * -3 + 2x * -3) = 3(3x + -9) + 8x 4x + (24 + -6x) = 3(3x + -9) + 8x Reorder the terms: 24 + 4x + -6x = 3(3x + -9) + 8x Combine like terms: 4x + -6x = -2x 24 + -2x = 3(3x + -9) + 8x Reorder the terms: 24 + -2x = 3(-9 + 3x) + 8x 24 + -2x = (-9 * 3 + 3x * 3) + 8x 24 + -2x = (-27 + 9x) + 8x Combine like terms: 9x + 8x = 17x 24 + -2x = -27 + 17x Solving 24 + -2x = -27 + 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. 24 + -2x + -17x = -27 + 17x + -17x Combine like terms: -2x + -17x = -19x 24 + -19x = -27 + 17x + -17x Combine like terms: 17x + -17x = 0 24 + -19x = -27 + 0 24 + -19x = -27 Add '-24' to each side of the equation. 24 + -24 + -19x = -27 + -24 Combine like terms: 24 + -24 = 0 0 + -19x = -27 + -24 -19x = -27 + -24 Combine like terms: -27 + -24 = -51 -19x = -51 Divide each side by '-19'. x = 2.684210526 Simplifying x = 2.684210526
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