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Simplifying 6x + -12 = 9x + -3(2x + -1) Reorder the terms: -12 + 6x = 9x + -3(2x + -1) Reorder the terms: -12 + 6x = 9x + -3(-1 + 2x) -12 + 6x = 9x + (-1 * -3 + 2x * -3) -12 + 6x = 9x + (3 + -6x) Reorder the terms: -12 + 6x = 3 + 9x + -6x Combine like terms: 9x + -6x = 3x -12 + 6x = 3 + 3x Solving -12 + 6x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -12 + 6x + -3x = 3 + 3x + -3x Combine like terms: 6x + -3x = 3x -12 + 3x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 3x = 3 + 0 -12 + 3x = 3 Add '12' to each side of the equation. -12 + 12 + 3x = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 3 + 12 3x = 3 + 12 Combine like terms: 3 + 12 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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