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Simplifying 7(x + 6) + -4(5x + -5) = 15 Reorder the terms: 7(6 + x) + -4(5x + -5) = 15 (6 * 7 + x * 7) + -4(5x + -5) = 15 (42 + 7x) + -4(5x + -5) = 15 Reorder the terms: 42 + 7x + -4(-5 + 5x) = 15 42 + 7x + (-5 * -4 + 5x * -4) = 15 42 + 7x + (20 + -20x) = 15 Reorder the terms: 42 + 20 + 7x + -20x = 15 Combine like terms: 42 + 20 = 62 62 + 7x + -20x = 15 Combine like terms: 7x + -20x = -13x 62 + -13x = 15 Solving 62 + -13x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-62' to each side of the equation. 62 + -62 + -13x = 15 + -62 Combine like terms: 62 + -62 = 0 0 + -13x = 15 + -62 -13x = 15 + -62 Combine like terms: 15 + -62 = -47 -13x = -47 Divide each side by '-13'. x = 3.615384615 Simplifying x = 3.615384615
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