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Simplifying 2x + 9 = 3(2x + -1) Reorder the terms: 9 + 2x = 3(2x + -1) Reorder the terms: 9 + 2x = 3(-1 + 2x) 9 + 2x = (-1 * 3 + 2x * 3) 9 + 2x = (-3 + 6x) Solving 9 + 2x = -3 + 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. 9 + 2x + -6x = -3 + 6x + -6x Combine like terms: 2x + -6x = -4x 9 + -4x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + -4x = -3 + 0 9 + -4x = -3 Add '-9' to each side of the equation. 9 + -9 + -4x = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = -3 + -9 -4x = -3 + -9 Combine like terms: -3 + -9 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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