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Simplifying 3[x + -1(5x + -2)] = 15 + -3x Reorder the terms: 3[x + -1(-2 + 5x)] = 15 + -3x 3[x + (-2 * -1 + 5x * -1)] = 15 + -3x 3[x + (2 + -5x)] = 15 + -3x Reorder the terms: 3[2 + x + -5x] = 15 + -3x Combine like terms: x + -5x = -4x 3[2 + -4x] = 15 + -3x [2 * 3 + -4x * 3] = 15 + -3x [6 + -12x] = 15 + -3x Solving 6 + -12x = 15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 6 + -12x + 3x = 15 + -3x + 3x Combine like terms: -12x + 3x = -9x 6 + -9x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + -9x = 15 + 0 6 + -9x = 15 Add '-6' to each side of the equation. 6 + -6 + -9x = 15 + -6 Combine like terms: 6 + -6 = 0 0 + -9x = 15 + -6 -9x = 15 + -6 Combine like terms: 15 + -6 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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