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Simplifying 9x + -12x = -2(1 + 4x) + 2(1 + -5x) Combine like terms: 9x + -12x = -3x -3x = -2(1 + 4x) + 2(1 + -5x) -3x = (1 * -2 + 4x * -2) + 2(1 + -5x) -3x = (-2 + -8x) + 2(1 + -5x) -3x = -2 + -8x + (1 * 2 + -5x * 2) -3x = -2 + -8x + (2 + -10x) Reorder the terms: -3x = -2 + 2 + -8x + -10x Combine like terms: -2 + 2 = 0 -3x = 0 + -8x + -10x -3x = -8x + -10x Combine like terms: -8x + -10x = -18x -3x = -18x Solving -3x = -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -3x + 18x = -18x + 18x Combine like terms: -3x + 18x = 15x 15x = -18x + 18x Combine like terms: -18x + 18x = 0 15x = 0 Divide each side by '15'. x = 0 Simplifying x = 0
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