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Simplifying 3(2x + -4) + 3 = 17x + -9 Reorder the terms: 3(-4 + 2x) + 3 = 17x + -9 (-4 * 3 + 2x * 3) + 3 = 17x + -9 (-12 + 6x) + 3 = 17x + -9 Reorder the terms: -12 + 3 + 6x = 17x + -9 Combine like terms: -12 + 3 = -9 -9 + 6x = 17x + -9 Reorder the terms: -9 + 6x = -9 + 17x Add '9' to each side of the equation. -9 + 9 + 6x = -9 + 9 + 17x Combine like terms: -9 + 9 = 0 0 + 6x = -9 + 9 + 17x 6x = -9 + 9 + 17x Combine like terms: -9 + 9 = 0 6x = 0 + 17x 6x = 17x Solving 6x = 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 6x + -17x = 17x + -17x Combine like terms: 6x + -17x = -11x -11x = 17x + -17x Combine like terms: 17x + -17x = 0 -11x = 0 Divide each side by '-11'. x = 0 Simplifying x = 0
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