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Simplifying 3[x + -5] = 5[3x + 2] Reorder the terms: 3[-5 + x] = 5[3x + 2] [-5 * 3 + x * 3] = 5[3x + 2] [-15 + 3x] = 5[3x + 2] Reorder the terms: -15 + 3x = 5[2 + 3x] -15 + 3x = [2 * 5 + 3x * 5] -15 + 3x = [10 + 15x] Solving -15 + 3x = 10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -15 + 3x + -15x = 10 + 15x + -15x Combine like terms: 3x + -15x = -12x -15 + -12x = 10 + 15x + -15x Combine like terms: 15x + -15x = 0 -15 + -12x = 10 + 0 -15 + -12x = 10 Add '15' to each side of the equation. -15 + 15 + -12x = 10 + 15 Combine like terms: -15 + 15 = 0 0 + -12x = 10 + 15 -12x = 10 + 15 Combine like terms: 10 + 15 = 25 -12x = 25 Divide each side by '-12'. x = -2.083333333 Simplifying x = -2.083333333
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