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Simplifying (14x + 6) + -58 = 4x + 28 Reorder the terms: (6 + 14x) + -58 = 4x + 28 Remove parenthesis around (6 + 14x) 6 + 14x + -58 = 4x + 28 Reorder the terms: 6 + -58 + 14x = 4x + 28 Combine like terms: 6 + -58 = -52 -52 + 14x = 4x + 28 Reorder the terms: -52 + 14x = 28 + 4x Solving -52 + 14x = 28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -52 + 14x + -4x = 28 + 4x + -4x Combine like terms: 14x + -4x = 10x -52 + 10x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 -52 + 10x = 28 + 0 -52 + 10x = 28 Add '52' to each side of the equation. -52 + 52 + 10x = 28 + 52 Combine like terms: -52 + 52 = 0 0 + 10x = 28 + 52 10x = 28 + 52 Combine like terms: 28 + 52 = 80 10x = 80 Divide each side by '10'. x = 8 Simplifying x = 8
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