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Simplifying 3(2x + -5) + 2x = -7(8 + -7x) + 4x Reorder the terms: 3(-5 + 2x) + 2x = -7(8 + -7x) + 4x (-5 * 3 + 2x * 3) + 2x = -7(8 + -7x) + 4x (-15 + 6x) + 2x = -7(8 + -7x) + 4x Combine like terms: 6x + 2x = 8x -15 + 8x = -7(8 + -7x) + 4x -15 + 8x = (8 * -7 + -7x * -7) + 4x -15 + 8x = (-56 + 49x) + 4x Combine like terms: 49x + 4x = 53x -15 + 8x = -56 + 53x Solving -15 + 8x = -56 + 53x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-53x' to each side of the equation. -15 + 8x + -53x = -56 + 53x + -53x Combine like terms: 8x + -53x = -45x -15 + -45x = -56 + 53x + -53x Combine like terms: 53x + -53x = 0 -15 + -45x = -56 + 0 -15 + -45x = -56 Add '15' to each side of the equation. -15 + 15 + -45x = -56 + 15 Combine like terms: -15 + 15 = 0 0 + -45x = -56 + 15 -45x = -56 + 15 Combine like terms: -56 + 15 = -41 -45x = -41 Divide each side by '-45'. x = 0.9111111111 Simplifying x = 0.9111111111
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