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Simplifying (10x + -14) + (3x + 3) = 53 Reorder the terms: (-14 + 10x) + (3x + 3) = 53 Remove parenthesis around (-14 + 10x) -14 + 10x + (3x + 3) = 53 Reorder the terms: -14 + 10x + (3 + 3x) = 53 Remove parenthesis around (3 + 3x) -14 + 10x + 3 + 3x = 53 Reorder the terms: -14 + 3 + 10x + 3x = 53 Combine like terms: -14 + 3 = -11 -11 + 10x + 3x = 53 Combine like terms: 10x + 3x = 13x -11 + 13x = 53 Solving -11 + 13x = 53 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 13x = 53 + 11 Combine like terms: -11 + 11 = 0 0 + 13x = 53 + 11 13x = 53 + 11 Combine like terms: 53 + 11 = 64 13x = 64 Divide each side by '13'. x = 4.923076923 Simplifying x = 4.923076923
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