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