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Simplifying 15x + -38 + 2x + -54 = 2(5x + -3) + 48 Reorder the terms: -38 + -54 + 15x + 2x = 2(5x + -3) + 48 Combine like terms: -38 + -54 = -92 -92 + 15x + 2x = 2(5x + -3) + 48 Combine like terms: 15x + 2x = 17x -92 + 17x = 2(5x + -3) + 48 Reorder the terms: -92 + 17x = 2(-3 + 5x) + 48 -92 + 17x = (-3 * 2 + 5x * 2) + 48 -92 + 17x = (-6 + 10x) + 48 Reorder the terms: -92 + 17x = -6 + 48 + 10x Combine like terms: -6 + 48 = 42 -92 + 17x = 42 + 10x Solving -92 + 17x = 42 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -92 + 17x + -10x = 42 + 10x + -10x Combine like terms: 17x + -10x = 7x -92 + 7x = 42 + 10x + -10x Combine like terms: 10x + -10x = 0 -92 + 7x = 42 + 0 -92 + 7x = 42 Add '92' to each side of the equation. -92 + 92 + 7x = 42 + 92 Combine like terms: -92 + 92 = 0 0 + 7x = 42 + 92 7x = 42 + 92 Combine like terms: 42 + 92 = 134 7x = 134 Divide each side by '7'. x = 19.14285714 Simplifying x = 19.14285714
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