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Simplifying 8 + 14x + -7 = 7x + 56 + -4x Reorder the terms: 8 + -7 + 14x = 7x + 56 + -4x Combine like terms: 8 + -7 = 1 1 + 14x = 7x + 56 + -4x Reorder the terms: 1 + 14x = 56 + 7x + -4x Combine like terms: 7x + -4x = 3x 1 + 14x = 56 + 3x Solving 1 + 14x = 56 + 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. 1 + 14x + -3x = 56 + 3x + -3x Combine like terms: 14x + -3x = 11x 1 + 11x = 56 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + 11x = 56 + 0 1 + 11x = 56 Add '-1' to each side of the equation. 1 + -1 + 11x = 56 + -1 Combine like terms: 1 + -1 = 0 0 + 11x = 56 + -1 11x = 56 + -1 Combine like terms: 56 + -1 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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