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Simplifying 3(x + 5) + -5x + 15(x + -7) = 211 Reorder the terms: 3(5 + x) + -5x + 15(x + -7) = 211 (5 * 3 + x * 3) + -5x + 15(x + -7) = 211 (15 + 3x) + -5x + 15(x + -7) = 211 Reorder the terms: 15 + 3x + -5x + 15(-7 + x) = 211 15 + 3x + -5x + (-7 * 15 + x * 15) = 211 15 + 3x + -5x + (-105 + 15x) = 211 Reorder the terms: 15 + -105 + 3x + -5x + 15x = 211 Combine like terms: 15 + -105 = -90 -90 + 3x + -5x + 15x = 211 Combine like terms: 3x + -5x = -2x -90 + -2x + 15x = 211 Combine like terms: -2x + 15x = 13x -90 + 13x = 211 Solving -90 + 13x = 211 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + 13x = 211 + 90 Combine like terms: -90 + 90 = 0 0 + 13x = 211 + 90 13x = 211 + 90 Combine like terms: 211 + 90 = 301 13x = 301 Divide each side by '13'. x = 23.15384615 Simplifying x = 23.15384615
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