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Simplifying -2(3x + -7) + 9 = -4x + 17 Reorder the terms: -2(-7 + 3x) + 9 = -4x + 17 (-7 * -2 + 3x * -2) + 9 = -4x + 17 (14 + -6x) + 9 = -4x + 17 Reorder the terms: 14 + 9 + -6x = -4x + 17 Combine like terms: 14 + 9 = 23 23 + -6x = -4x + 17 Reorder the terms: 23 + -6x = 17 + -4x Solving 23 + -6x = 17 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 23 + -6x + 4x = 17 + -4x + 4x Combine like terms: -6x + 4x = -2x 23 + -2x = 17 + -4x + 4x Combine like terms: -4x + 4x = 0 23 + -2x = 17 + 0 23 + -2x = 17 Add '-23' to each side of the equation. 23 + -23 + -2x = 17 + -23 Combine like terms: 23 + -23 = 0 0 + -2x = 17 + -23 -2x = 17 + -23 Combine like terms: 17 + -23 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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