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Simplifying 3(3x + -4) + 3 = 6x + -9 Reorder the terms: 3(-4 + 3x) + 3 = 6x + -9 (-4 * 3 + 3x * 3) + 3 = 6x + -9 (-12 + 9x) + 3 = 6x + -9 Reorder the terms: -12 + 3 + 9x = 6x + -9 Combine like terms: -12 + 3 = -9 -9 + 9x = 6x + -9 Reorder the terms: -9 + 9x = -9 + 6x Add '9' to each side of the equation. -9 + 9 + 9x = -9 + 9 + 6x Combine like terms: -9 + 9 = 0 0 + 9x = -9 + 9 + 6x 9x = -9 + 9 + 6x Combine like terms: -9 + 9 = 0 9x = 0 + 6x 9x = 6x Solving 9x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 9x + -6x = 6x + -6x Combine like terms: 9x + -6x = 3x 3x = 6x + -6x Combine like terms: 6x + -6x = 0 3x = 0 Divide each side by '3'. x = 0 Simplifying x = 0
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