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Simplifying 5 + 3(3x + -3) = -2(4x + -3) + 5x Reorder the terms: 5 + 3(-3 + 3x) = -2(4x + -3) + 5x 5 + (-3 * 3 + 3x * 3) = -2(4x + -3) + 5x 5 + (-9 + 9x) = -2(4x + -3) + 5x Combine like terms: 5 + -9 = -4 -4 + 9x = -2(4x + -3) + 5x Reorder the terms: -4 + 9x = -2(-3 + 4x) + 5x -4 + 9x = (-3 * -2 + 4x * -2) + 5x -4 + 9x = (6 + -8x) + 5x Combine like terms: -8x + 5x = -3x -4 + 9x = 6 + -3x Solving -4 + 9x = 6 + -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. -4 + 9x + 3x = 6 + -3x + 3x Combine like terms: 9x + 3x = 12x -4 + 12x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + 12x = 6 + 0 -4 + 12x = 6 Add '4' to each side of the equation. -4 + 4 + 12x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 12x = 6 + 4 12x = 6 + 4 Combine like terms: 6 + 4 = 10 12x = 10 Divide each side by '12'. x = 0.8333333333 Simplifying x = 0.8333333333
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