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Simplifying 3[4x + -1(6 + -5x)] = 15 + -6(5 + -2x) 3[4x + (6 * -1 + -5x * -1)] = 15 + -6(5 + -2x) 3[4x + (-6 + 5x)] = 15 + -6(5 + -2x) Reorder the terms: 3[-6 + 4x + 5x] = 15 + -6(5 + -2x) Combine like terms: 4x + 5x = 9x 3[-6 + 9x] = 15 + -6(5 + -2x) [-6 * 3 + 9x * 3] = 15 + -6(5 + -2x) [-18 + 27x] = 15 + -6(5 + -2x) -18 + 27x = 15 + (5 * -6 + -2x * -6) -18 + 27x = 15 + (-30 + 12x) Combine like terms: 15 + -30 = -15 -18 + 27x = -15 + 12x Solving -18 + 27x = -15 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -18 + 27x + -12x = -15 + 12x + -12x Combine like terms: 27x + -12x = 15x -18 + 15x = -15 + 12x + -12x Combine like terms: 12x + -12x = 0 -18 + 15x = -15 + 0 -18 + 15x = -15 Add '18' to each side of the equation. -18 + 18 + 15x = -15 + 18 Combine like terms: -18 + 18 = 0 0 + 15x = -15 + 18 15x = -15 + 18 Combine like terms: -15 + 18 = 3 15x = 3 Divide each side by '15'. x = 0.2 Simplifying x = 0.2
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