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Simplifying -10 + -2x = 6x + 2(-7x + 7) Reorder the terms: -10 + -2x = 6x + 2(7 + -7x) -10 + -2x = 6x + (7 * 2 + -7x * 2) -10 + -2x = 6x + (14 + -14x) Reorder the terms: -10 + -2x = 14 + 6x + -14x Combine like terms: 6x + -14x = -8x -10 + -2x = 14 + -8x Solving -10 + -2x = 14 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -10 + -2x + 8x = 14 + -8x + 8x Combine like terms: -2x + 8x = 6x -10 + 6x = 14 + -8x + 8x Combine like terms: -8x + 8x = 0 -10 + 6x = 14 + 0 -10 + 6x = 14 Add '10' to each side of the equation. -10 + 10 + 6x = 14 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = 14 + 10 6x = 14 + 10 Combine like terms: 14 + 10 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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