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Simplifying 3(3x + -2) = 7(4x + 3) + -3x Reorder the terms: 3(-2 + 3x) = 7(4x + 3) + -3x (-2 * 3 + 3x * 3) = 7(4x + 3) + -3x (-6 + 9x) = 7(4x + 3) + -3x Reorder the terms: -6 + 9x = 7(3 + 4x) + -3x -6 + 9x = (3 * 7 + 4x * 7) + -3x -6 + 9x = (21 + 28x) + -3x Combine like terms: 28x + -3x = 25x -6 + 9x = 21 + 25x Solving -6 + 9x = 21 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -6 + 9x + -25x = 21 + 25x + -25x Combine like terms: 9x + -25x = -16x -6 + -16x = 21 + 25x + -25x Combine like terms: 25x + -25x = 0 -6 + -16x = 21 + 0 -6 + -16x = 21 Add '6' to each side of the equation. -6 + 6 + -16x = 21 + 6 Combine like terms: -6 + 6 = 0 0 + -16x = 21 + 6 -16x = 21 + 6 Combine like terms: 21 + 6 = 27 -16x = 27 Divide each side by '-16'. x = -1.6875 Simplifying x = -1.6875
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