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Simplifying X + -9 + 3(5x + 4) = -2(x + 6) Reorder the terms: X + -9 + 3(4 + 5x) = -2(x + 6) X + -9 + (4 * 3 + 5x * 3) = -2(x + 6) X + -9 + (12 + 15x) = -2(x + 6) Reorder the terms: -9 + 12 + X + 15x = -2(x + 6) Combine like terms: -9 + 12 = 3 3 + X + 15x = -2(x + 6) Reorder the terms: 3 + X + 15x = -2(6 + x) 3 + X + 15x = (6 * -2 + x * -2) 3 + X + 15x = (-12 + -2x) Solving 3 + X + 15x = -12 + -2x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + X + -3 + 15x = -12 + -3 + -2x Reorder the terms: 3 + -3 + X + 15x = -12 + -3 + -2x Combine like terms: 3 + -3 = 0 0 + X + 15x = -12 + -3 + -2x X + 15x = -12 + -3 + -2x Combine like terms: -12 + -3 = -15 X + 15x = -15 + -2x Add '-15x' to each side of the equation. X + 15x + -15x = -15 + -2x + -15x Combine like terms: 15x + -15x = 0 X + 0 = -15 + -2x + -15x X = -15 + -2x + -15x Combine like terms: -2x + -15x = -17x X = -15 + -17x Simplifying X = -15 + -17x
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