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Simplifying 3[1 + -1(4x + -5)] = 5(6 + -2x) Reorder the terms: 3[1 + -1(-5 + 4x)] = 5(6 + -2x) 3[1 + (-5 * -1 + 4x * -1)] = 5(6 + -2x) 3[1 + (5 + -4x)] = 5(6 + -2x) Combine like terms: 1 + 5 = 6 3[6 + -4x] = 5(6 + -2x) [6 * 3 + -4x * 3] = 5(6 + -2x) [18 + -12x] = 5(6 + -2x) 18 + -12x = (6 * 5 + -2x * 5) 18 + -12x = (30 + -10x) Solving 18 + -12x = 30 + -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. 18 + -12x + 10x = 30 + -10x + 10x Combine like terms: -12x + 10x = -2x 18 + -2x = 30 + -10x + 10x Combine like terms: -10x + 10x = 0 18 + -2x = 30 + 0 18 + -2x = 30 Add '-18' to each side of the equation. 18 + -18 + -2x = 30 + -18 Combine like terms: 18 + -18 = 0 0 + -2x = 30 + -18 -2x = 30 + -18 Combine like terms: 30 + -18 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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