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Simplifying 2(2x + 14) = (13x + 14) + -1(58) Reorder the terms: 2(14 + 2x) = (13x + 14) + -1(58) (14 * 2 + 2x * 2) = (13x + 14) + -1(58) (28 + 4x) = (13x + 14) + -1(58) Reorder the terms: 28 + 4x = (14 + 13x) + -1(58) Remove parenthesis around (14 + 13x) 28 + 4x = 14 + 13x + -1(58) Multiply -1 * 58 28 + 4x = 14 + 13x + -58 Reorder the terms: 28 + 4x = 14 + -58 + 13x Combine like terms: 14 + -58 = -44 28 + 4x = -44 + 13x Solving 28 + 4x = -44 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 28 + 4x + -13x = -44 + 13x + -13x Combine like terms: 4x + -13x = -9x 28 + -9x = -44 + 13x + -13x Combine like terms: 13x + -13x = 0 28 + -9x = -44 + 0 28 + -9x = -44 Add '-28' to each side of the equation. 28 + -28 + -9x = -44 + -28 Combine like terms: 28 + -28 = 0 0 + -9x = -44 + -28 -9x = -44 + -28 Combine like terms: -44 + -28 = -72 -9x = -72 Divide each side by '-9'. x = 8 Simplifying x = 8
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