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Simplifying 2(3x + -7) = 8x + 10 Reorder the terms: 2(-7 + 3x) = 8x + 10 (-7 * 2 + 3x * 2) = 8x + 10 (-14 + 6x) = 8x + 10 Reorder the terms: -14 + 6x = 10 + 8x Solving -14 + 6x = 10 + 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. -14 + 6x + -8x = 10 + 8x + -8x Combine like terms: 6x + -8x = -2x -14 + -2x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 -14 + -2x = 10 + 0 -14 + -2x = 10 Add '14' to each side of the equation. -14 + 14 + -2x = 10 + 14 Combine like terms: -14 + 14 = 0 0 + -2x = 10 + 14 -2x = 10 + 14 Combine like terms: 10 + 14 = 24 -2x = 24 Divide each side by '-2'. x = -12 Simplifying x = -12
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