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Simplifying 6 + 3(5x + -1) = 12x + -2(4x + -9) Reorder the terms: 6 + 3(-1 + 5x) = 12x + -2(4x + -9) 6 + (-1 * 3 + 5x * 3) = 12x + -2(4x + -9) 6 + (-3 + 15x) = 12x + -2(4x + -9) Combine like terms: 6 + -3 = 3 3 + 15x = 12x + -2(4x + -9) Reorder the terms: 3 + 15x = 12x + -2(-9 + 4x) 3 + 15x = 12x + (-9 * -2 + 4x * -2) 3 + 15x = 12x + (18 + -8x) Reorder the terms: 3 + 15x = 18 + 12x + -8x Combine like terms: 12x + -8x = 4x 3 + 15x = 18 + 4x Solving 3 + 15x = 18 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + 15x + -4x = 18 + 4x + -4x Combine like terms: 15x + -4x = 11x 3 + 11x = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + 11x = 18 + 0 3 + 11x = 18 Add '-3' to each side of the equation. 3 + -3 + 11x = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 11x = 18 + -3 11x = 18 + -3 Combine like terms: 18 + -3 = 15 11x = 15 Divide each side by '11'. x = 1.363636364 Simplifying x = 1.363636364
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