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Simplifying -4x + 6(2x + -6) = -19 + -9x Reorder the terms: -4x + 6(-6 + 2x) = -19 + -9x -4x + (-6 * 6 + 2x * 6) = -19 + -9x -4x + (-36 + 12x) = -19 + -9x Reorder the terms: -36 + -4x + 12x = -19 + -9x Combine like terms: -4x + 12x = 8x -36 + 8x = -19 + -9x Solving -36 + 8x = -19 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -36 + 8x + 9x = -19 + -9x + 9x Combine like terms: 8x + 9x = 17x -36 + 17x = -19 + -9x + 9x Combine like terms: -9x + 9x = 0 -36 + 17x = -19 + 0 -36 + 17x = -19 Add '36' to each side of the equation. -36 + 36 + 17x = -19 + 36 Combine like terms: -36 + 36 = 0 0 + 17x = -19 + 36 17x = -19 + 36 Combine like terms: -19 + 36 = 17 17x = 17 Divide each side by '17'. x = 1 Simplifying x = 1
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