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Simplifying 6[2x + -3] = 3[3x + -5] Reorder the terms: 6[-3 + 2x] = 3[3x + -5] [-3 * 6 + 2x * 6] = 3[3x + -5] [-18 + 12x] = 3[3x + -5] Reorder the terms: -18 + 12x = 3[-5 + 3x] -18 + 12x = [-5 * 3 + 3x * 3] -18 + 12x = [-15 + 9x] Solving -18 + 12x = -15 + 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. -18 + 12x + -9x = -15 + 9x + -9x Combine like terms: 12x + -9x = 3x -18 + 3x = -15 + 9x + -9x Combine like terms: 9x + -9x = 0 -18 + 3x = -15 + 0 -18 + 3x = -15 Add '18' to each side of the equation. -18 + 18 + 3x = -15 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = -15 + 18 3x = -15 + 18 Combine like terms: -15 + 18 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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