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Simplifying 3[2x + -5 + -1(3 + 5x)] = 6 + -6(x + 2) 3[2x + -5 + (3 * -1 + 5x * -1)] = 6 + -6(x + 2) 3[2x + -5 + (-3 + -5x)] = 6 + -6(x + 2) Reorder the terms: 3[-5 + -3 + 2x + -5x] = 6 + -6(x + 2) Combine like terms: -5 + -3 = -8 3[-8 + 2x + -5x] = 6 + -6(x + 2) Combine like terms: 2x + -5x = -3x 3[-8 + -3x] = 6 + -6(x + 2) [-8 * 3 + -3x * 3] = 6 + -6(x + 2) [-24 + -9x] = 6 + -6(x + 2) Reorder the terms: -24 + -9x = 6 + -6(2 + x) -24 + -9x = 6 + (2 * -6 + x * -6) -24 + -9x = 6 + (-12 + -6x) Combine like terms: 6 + -12 = -6 -24 + -9x = -6 + -6x Solving -24 + -9x = -6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -24 + -9x + 6x = -6 + -6x + 6x Combine like terms: -9x + 6x = -3x -24 + -3x = -6 + -6x + 6x Combine like terms: -6x + 6x = 0 -24 + -3x = -6 + 0 -24 + -3x = -6 Add '24' to each side of the equation. -24 + 24 + -3x = -6 + 24 Combine like terms: -24 + 24 = 0 0 + -3x = -6 + 24 -3x = -6 + 24 Combine like terms: -6 + 24 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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