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Simplifying 3(3x + -2) + 17 = 7x + 3 Reorder the terms: 3(-2 + 3x) + 17 = 7x + 3 (-2 * 3 + 3x * 3) + 17 = 7x + 3 (-6 + 9x) + 17 = 7x + 3 Reorder the terms: -6 + 17 + 9x = 7x + 3 Combine like terms: -6 + 17 = 11 11 + 9x = 7x + 3 Reorder the terms: 11 + 9x = 3 + 7x Solving 11 + 9x = 3 + 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. 11 + 9x + -7x = 3 + 7x + -7x Combine like terms: 9x + -7x = 2x 11 + 2x = 3 + 7x + -7x Combine like terms: 7x + -7x = 0 11 + 2x = 3 + 0 11 + 2x = 3 Add '-11' to each side of the equation. 11 + -11 + 2x = 3 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = 3 + -11 2x = 3 + -11 Combine like terms: 3 + -11 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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