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Simplifying 3(2x + -9) + 10 = 2x + -17 Reorder the terms: 3(-9 + 2x) + 10 = 2x + -17 (-9 * 3 + 2x * 3) + 10 = 2x + -17 (-27 + 6x) + 10 = 2x + -17 Reorder the terms: -27 + 10 + 6x = 2x + -17 Combine like terms: -27 + 10 = -17 -17 + 6x = 2x + -17 Reorder the terms: -17 + 6x = -17 + 2x Add '17' to each side of the equation. -17 + 17 + 6x = -17 + 17 + 2x Combine like terms: -17 + 17 = 0 0 + 6x = -17 + 17 + 2x 6x = -17 + 17 + 2x Combine like terms: -17 + 17 = 0 6x = 0 + 2x 6x = 2x Solving 6x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6x + -2x = 2x + -2x Combine like terms: 6x + -2x = 4x 4x = 2x + -2x Combine like terms: 2x + -2x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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