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Simplifying 5[2x + -3] = 3[3x + 2] Reorder the terms: 5[-3 + 2x] = 3[3x + 2] [-3 * 5 + 2x * 5] = 3[3x + 2] [-15 + 10x] = 3[3x + 2] Reorder the terms: -15 + 10x = 3[2 + 3x] -15 + 10x = [2 * 3 + 3x * 3] -15 + 10x = [6 + 9x] Solving -15 + 10x = 6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -15 + 10x + -9x = 6 + 9x + -9x Combine like terms: 10x + -9x = 1x -15 + 1x = 6 + 9x + -9x Combine like terms: 9x + -9x = 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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