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