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Simplifying 3(3x + -2) = 7(4x + 3) + -31x Reorder the terms: 3(-2 + 3x) = 7(4x + 3) + -31x (-2 * 3 + 3x * 3) = 7(4x + 3) + -31x (-6 + 9x) = 7(4x + 3) + -31x Reorder the terms: -6 + 9x = 7(3 + 4x) + -31x -6 + 9x = (3 * 7 + 4x * 7) + -31x -6 + 9x = (21 + 28x) + -31x Combine like terms: 28x + -31x = -3x -6 + 9x = 21 + -3x Solving -6 + 9x = 21 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -6 + 9x + 3x = 21 + -3x + 3x Combine like terms: 9x + 3x = 12x -6 + 12x = 21 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 12x = 21 + 0 -6 + 12x = 21 Add '6' to each side of the equation. -6 + 6 + 12x = 21 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = 21 + 6 12x = 21 + 6 Combine like terms: 21 + 6 = 27 12x = 27 Divide each side by '12'. x = 2.25 Simplifying x = 2.25
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