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Simplifying (6x + -14) = (30x + 54) + 28 Reorder the terms: (-14 + 6x) = (30x + 54) + 28 Remove parenthesis around (-14 + 6x) -14 + 6x = (30x + 54) + 28 Reorder the terms: -14 + 6x = (54 + 30x) + 28 Remove parenthesis around (54 + 30x) -14 + 6x = 54 + 30x + 28 Reorder the terms: -14 + 6x = 54 + 28 + 30x Combine like terms: 54 + 28 = 82 -14 + 6x = 82 + 30x Solving -14 + 6x = 82 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -14 + 6x + -30x = 82 + 30x + -30x Combine like terms: 6x + -30x = -24x -14 + -24x = 82 + 30x + -30x Combine like terms: 30x + -30x = 0 -14 + -24x = 82 + 0 -14 + -24x = 82 Add '14' to each side of the equation. -14 + 14 + -24x = 82 + 14 Combine like terms: -14 + 14 = 0 0 + -24x = 82 + 14 -24x = 82 + 14 Combine like terms: 82 + 14 = 96 -24x = 96 Divide each side by '-24'. x = -4 Simplifying x = -4
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