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Simplifying x + -6 = 2(-3x + 4) Reorder the terms: -6 + x = 2(-3x + 4) Reorder the terms: -6 + x = 2(4 + -3x) -6 + x = (4 * 2 + -3x * 2) -6 + x = (8 + -6x) Solving -6 + x = 8 + -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. -6 + x + 6x = 8 + -6x + 6x Combine like terms: x + 6x = 7x -6 + 7x = 8 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 7x = 8 + 0 -6 + 7x = 8 Add '6' to each side of the equation. -6 + 6 + 7x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 8 + 6 7x = 8 + 6 Combine like terms: 8 + 6 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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