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Simplifying 2x + -6x = 9(7x + 3) + -9(x + 3) Combine like terms: 2x + -6x = -4x -4x = 9(7x + 3) + -9(x + 3) Reorder the terms: -4x = 9(3 + 7x) + -9(x + 3) -4x = (3 * 9 + 7x * 9) + -9(x + 3) -4x = (27 + 63x) + -9(x + 3) Reorder the terms: -4x = 27 + 63x + -9(3 + x) -4x = 27 + 63x + (3 * -9 + x * -9) -4x = 27 + 63x + (-27 + -9x) Reorder the terms: -4x = 27 + -27 + 63x + -9x Combine like terms: 27 + -27 = 0 -4x = 0 + 63x + -9x -4x = 63x + -9x Combine like terms: 63x + -9x = 54x -4x = 54x Solving -4x = 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. -4x + -54x = 54x + -54x Combine like terms: -4x + -54x = -58x -58x = 54x + -54x Combine like terms: 54x + -54x = 0 -58x = 0 Divide each side by '-58'. x = 0 Simplifying x = 0
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