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Simplifying 6x + -1(3x + -9) = 2(2x + 1) Reorder the terms: 6x + -1(-9 + 3x) = 2(2x + 1) 6x + (-9 * -1 + 3x * -1) = 2(2x + 1) 6x + (9 + -3x) = 2(2x + 1) Reorder the terms: 9 + 6x + -3x = 2(2x + 1) Combine like terms: 6x + -3x = 3x 9 + 3x = 2(2x + 1) Reorder the terms: 9 + 3x = 2(1 + 2x) 9 + 3x = (1 * 2 + 2x * 2) 9 + 3x = (2 + 4x) Solving 9 + 3x = 2 + 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. 9 + 3x + -4x = 2 + 4x + -4x Combine like terms: 3x + -4x = -1x 9 + -1x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + -1x = 2 + 0 9 + -1x = 2 Add '-9' to each side of the equation. 9 + -9 + -1x = 2 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 2 + -9 -1x = 2 + -9 Combine like terms: 2 + -9 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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