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Simplifying 8(x + 5) + -1(3x + -5) = 7 Reorder the terms: 8(5 + x) + -1(3x + -5) = 7 (5 * 8 + x * 8) + -1(3x + -5) = 7 (40 + 8x) + -1(3x + -5) = 7 Reorder the terms: 40 + 8x + -1(-5 + 3x) = 7 40 + 8x + (-5 * -1 + 3x * -1) = 7 40 + 8x + (5 + -3x) = 7 Reorder the terms: 40 + 5 + 8x + -3x = 7 Combine like terms: 40 + 5 = 45 45 + 8x + -3x = 7 Combine like terms: 8x + -3x = 5x 45 + 5x = 7 Solving 45 + 5x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 5x = 7 + -45 Combine like terms: 45 + -45 = 0 0 + 5x = 7 + -45 5x = 7 + -45 Combine like terms: 7 + -45 = -38 5x = -38 Divide each side by '5'. x = -7.6 Simplifying x = -7.6
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