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Simplifying x + (2x)(3) + (3x + -5) + (5x)(1) = 252 Remove parenthesis around (2x) x + 2x(3) + (3x + -5) + (5x)(1) = 252 Reorder the terms for easier multiplication: x + 2 * 3x + (3x + -5) + (5x)(1) = 252 Multiply 2 * 3 x + 6x + (3x + -5) + (5x)(1) = 252 Reorder the terms: x + 6x + (-5 + 3x) + (5x)(1) = 252 Remove parenthesis around (-5 + 3x) x + 6x + -5 + 3x + (5x)(1) = 252 Remove parenthesis around (5x) x + 6x + -5 + 3x + 5x(1) = 252 Reorder the terms for easier multiplication: x + 6x + -5 + 3x + 5 * 1x = 252 Multiply 5 * 1 x + 6x + -5 + 3x + 5x = 252 Reorder the terms: -5 + x + 6x + 3x + 5x = 252 Combine like terms: x + 6x = 7x -5 + 7x + 3x + 5x = 252 Combine like terms: 7x + 3x = 10x -5 + 10x + 5x = 252 Combine like terms: 10x + 5x = 15x -5 + 15x = 252 Solving -5 + 15x = 252 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 15x = 252 + 5 Combine like terms: -5 + 5 = 0 0 + 15x = 252 + 5 15x = 252 + 5 Combine like terms: 252 + 5 = 257 15x = 257 Divide each side by '15'. x = 17.13333333 Simplifying x = 17.13333333
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