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Simplifying 2(6x + -9) + 3x = -1 + -2x Reorder the terms: 2(-9 + 6x) + 3x = -1 + -2x (-9 * 2 + 6x * 2) + 3x = -1 + -2x (-18 + 12x) + 3x = -1 + -2x Combine like terms: 12x + 3x = 15x -18 + 15x = -1 + -2x Solving -18 + 15x = -1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -18 + 15x + 2x = -1 + -2x + 2x Combine like terms: 15x + 2x = 17x -18 + 17x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 -18 + 17x = -1 + 0 -18 + 17x = -1 Add '18' to each side of the equation. -18 + 18 + 17x = -1 + 18 Combine like terms: -18 + 18 = 0 0 + 17x = -1 + 18 17x = -1 + 18 Combine like terms: -1 + 18 = 17 17x = 17 Divide each side by '17'. x = 1 Simplifying x = 1
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