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Simplifying 3(2x + 4) + -5(-4x + 3) = -4(2x + 7) + 9x Reorder the terms: 3(4 + 2x) + -5(-4x + 3) = -4(2x + 7) + 9x (4 * 3 + 2x * 3) + -5(-4x + 3) = -4(2x + 7) + 9x (12 + 6x) + -5(-4x + 3) = -4(2x + 7) + 9x Reorder the terms: 12 + 6x + -5(3 + -4x) = -4(2x + 7) + 9x 12 + 6x + (3 * -5 + -4x * -5) = -4(2x + 7) + 9x 12 + 6x + (-15 + 20x) = -4(2x + 7) + 9x Reorder the terms: 12 + -15 + 6x + 20x = -4(2x + 7) + 9x Combine like terms: 12 + -15 = -3 -3 + 6x + 20x = -4(2x + 7) + 9x Combine like terms: 6x + 20x = 26x -3 + 26x = -4(2x + 7) + 9x Reorder the terms: -3 + 26x = -4(7 + 2x) + 9x -3 + 26x = (7 * -4 + 2x * -4) + 9x -3 + 26x = (-28 + -8x) + 9x Combine like terms: -8x + 9x = 1x -3 + 26x = -28 + 1x Solving -3 + 26x = -28 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -3 + 26x + -1x = -28 + 1x + -1x Combine like terms: 26x + -1x = 25x -3 + 25x = -28 + 1x + -1x Combine like terms: 1x + -1x = 0 -3 + 25x = -28 + 0 -3 + 25x = -28 Add '3' to each side of the equation. -3 + 3 + 25x = -28 + 3 Combine like terms: -3 + 3 = 0 0 + 25x = -28 + 3 25x = -28 + 3 Combine like terms: -28 + 3 = -25 25x = -25 Divide each side by '25'. x = -1 Simplifying x = -1
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