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Simplifying 3(3x + -5) = 4(x + 3) + -3 Reorder the terms: 3(-5 + 3x) = 4(x + 3) + -3 (-5 * 3 + 3x * 3) = 4(x + 3) + -3 (-15 + 9x) = 4(x + 3) + -3 Reorder the terms: -15 + 9x = 4(3 + x) + -3 -15 + 9x = (3 * 4 + x * 4) + -3 -15 + 9x = (12 + 4x) + -3 Reorder the terms: -15 + 9x = 12 + -3 + 4x Combine like terms: 12 + -3 = 9 -15 + 9x = 9 + 4x Solving -15 + 9x = 9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -15 + 9x + -4x = 9 + 4x + -4x Combine like terms: 9x + -4x = 5x -15 + 5x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + 5x = 9 + 0 -15 + 5x = 9 Add '15' to each side of the equation. -15 + 15 + 5x = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = 9 + 15 5x = 9 + 15 Combine like terms: 9 + 15 = 24 5x = 24 Divide each side by '5'. x = 4.8 Simplifying x = 4.8
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