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Simplifying 2(3x + -6) + -4x = 9 + -1x Reorder the terms: 2(-6 + 3x) + -4x = 9 + -1x (-6 * 2 + 3x * 2) + -4x = 9 + -1x (-12 + 6x) + -4x = 9 + -1x Combine like terms: 6x + -4x = 2x -12 + 2x = 9 + -1x Solving -12 + 2x = 9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -12 + 2x + x = 9 + -1x + x Combine like terms: 2x + x = 3x -12 + 3x = 9 + -1x + x Combine like terms: -1x + x = 0 -12 + 3x = 9 + 0 -12 + 3x = 9 Add '12' to each side of the equation. -12 + 12 + 3x = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 9 + 12 3x = 9 + 12 Combine like terms: 9 + 12 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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