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Simplifying -10 + 8x = -2(7x + -3) + 6 Reorder the terms: -10 + 8x = -2(-3 + 7x) + 6 -10 + 8x = (-3 * -2 + 7x * -2) + 6 -10 + 8x = (6 + -14x) + 6 Reorder the terms: -10 + 8x = 6 + 6 + -14x Combine like terms: 6 + 6 = 12 -10 + 8x = 12 + -14x Solving -10 + 8x = 12 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -10 + 8x + 14x = 12 + -14x + 14x Combine like terms: 8x + 14x = 22x -10 + 22x = 12 + -14x + 14x Combine like terms: -14x + 14x = 0 -10 + 22x = 12 + 0 -10 + 22x = 12 Add '10' to each side of the equation. -10 + 10 + 22x = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 22x = 12 + 10 22x = 12 + 10 Combine like terms: 12 + 10 = 22 22x = 22 Divide each side by '22'. x = 1 Simplifying x = 1
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