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Simplifying 3 + -5[4 + -2(3x + -6)] = 5(2x + -8) Reorder the terms: 3 + -5[4 + -2(-6 + 3x)] = 5(2x + -8) 3 + -5[4 + (-6 * -2 + 3x * -2)] = 5(2x + -8) 3 + -5[4 + (12 + -6x)] = 5(2x + -8) Combine like terms: 4 + 12 = 16 3 + -5[16 + -6x] = 5(2x + -8) 3 + [16 * -5 + -6x * -5] = 5(2x + -8) 3 + [-80 + 30x] = 5(2x + -8) Combine like terms: 3 + -80 = -77 -77 + 30x = 5(2x + -8) Reorder the terms: -77 + 30x = 5(-8 + 2x) -77 + 30x = (-8 * 5 + 2x * 5) -77 + 30x = (-40 + 10x) Solving -77 + 30x = -40 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -77 + 30x + -10x = -40 + 10x + -10x Combine like terms: 30x + -10x = 20x -77 + 20x = -40 + 10x + -10x Combine like terms: 10x + -10x = 0 -77 + 20x = -40 + 0 -77 + 20x = -40 Add '77' to each side of the equation. -77 + 77 + 20x = -40 + 77 Combine like terms: -77 + 77 = 0 0 + 20x = -40 + 77 20x = -40 + 77 Combine like terms: -40 + 77 = 37 20x = 37 Divide each side by '20'. x = 1.85 Simplifying x = 1.85
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