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Simplifying 3(3x + -5) = 2(4x + 3) Reorder the terms: 3(-5 + 3x) = 2(4x + 3) (-5 * 3 + 3x * 3) = 2(4x + 3) (-15 + 9x) = 2(4x + 3) Reorder the terms: -15 + 9x = 2(3 + 4x) -15 + 9x = (3 * 2 + 4x * 2) -15 + 9x = (6 + 8x) Solving -15 + 9x = 6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -15 + 9x + -8x = 6 + 8x + -8x Combine like terms: 9x + -8x = 1x -15 + 1x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + 1x = 6 + 0 -15 + 1x = 6 Add '15' to each side of the equation. -15 + 15 + 1x = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = 6 + 15 1x = 6 + 15 Combine like terms: 6 + 15 = 21 1x = 21 Divide each side by '1'. x = 21 Simplifying x = 21
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