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Simplifying 3[x + -5] = 2[x + 5] * 6 Reorder the terms: 3[-5 + x] = 2[x + 5] * 6 [-5 * 3 + x * 3] = 2[x + 5] * 6 [-15 + 3x] = 2[x + 5] * 6 Reorder the terms: -15 + 3x = 2[5 + x] * 6 Reorder the terms for easier multiplication: -15 + 3x = 2 * 6[5 + x] Multiply 2 * 6 -15 + 3x = 12[5 + x] -15 + 3x = [5 * 12 + x * 12] -15 + 3x = [60 + 12x] Solving -15 + 3x = 60 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -15 + 3x + -12x = 60 + 12x + -12x Combine like terms: 3x + -12x = -9x -15 + -9x = 60 + 12x + -12x Combine like terms: 12x + -12x = 0 -15 + -9x = 60 + 0 -15 + -9x = 60 Add '15' to each side of the equation. -15 + 15 + -9x = 60 + 15 Combine like terms: -15 + 15 = 0 0 + -9x = 60 + 15 -9x = 60 + 15 Combine like terms: 60 + 15 = 75 -9x = 75 Divide each side by '-9'. x = -8.333333333 Simplifying x = -8.333333333
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