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Simplifying 14 + 8x = 7(3x + 8) + -7x Reorder the terms: 14 + 8x = 7(8 + 3x) + -7x 14 + 8x = (8 * 7 + 3x * 7) + -7x 14 + 8x = (56 + 21x) + -7x Combine like terms: 21x + -7x = 14x 14 + 8x = 56 + 14x Solving 14 + 8x = 56 + 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. 14 + 8x + -14x = 56 + 14x + -14x Combine like terms: 8x + -14x = -6x 14 + -6x = 56 + 14x + -14x Combine like terms: 14x + -14x = 0 14 + -6x = 56 + 0 14 + -6x = 56 Add '-14' to each side of the equation. 14 + -14 + -6x = 56 + -14 Combine like terms: 14 + -14 = 0 0 + -6x = 56 + -14 -6x = 56 + -14 Combine like terms: 56 + -14 = 42 -6x = 42 Divide each side by '-6'. x = -7 Simplifying x = -7
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