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Simplifying 3[3x + -1(4x + -6)] = 5(x + -6) Reorder the terms: 3[3x + -1(-6 + 4x)] = 5(x + -6) 3[3x + (-6 * -1 + 4x * -1)] = 5(x + -6) 3[3x + (6 + -4x)] = 5(x + -6) Reorder the terms: 3[6 + 3x + -4x] = 5(x + -6) Combine like terms: 3x + -4x = -1x 3[6 + -1x] = 5(x + -6) [6 * 3 + -1x * 3] = 5(x + -6) [18 + -3x] = 5(x + -6) Reorder the terms: 18 + -3x = 5(-6 + x) 18 + -3x = (-6 * 5 + x * 5) 18 + -3x = (-30 + 5x) Solving 18 + -3x = -30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 18 + -3x + -5x = -30 + 5x + -5x Combine like terms: -3x + -5x = -8x 18 + -8x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + -8x = -30 + 0 18 + -8x = -30 Add '-18' to each side of the equation. 18 + -18 + -8x = -30 + -18 Combine like terms: 18 + -18 = 0 0 + -8x = -30 + -18 -8x = -30 + -18 Combine like terms: -30 + -18 = -48 -8x = -48 Divide each side by '-8'. x = 6 Simplifying x = 6
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