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Simplifying 7(x + 5) + -1(2x + -3) = 7 Reorder the terms: 7(5 + x) + -1(2x + -3) = 7 (5 * 7 + x * 7) + -1(2x + -3) = 7 (35 + 7x) + -1(2x + -3) = 7 Reorder the terms: 35 + 7x + -1(-3 + 2x) = 7 35 + 7x + (-3 * -1 + 2x * -1) = 7 35 + 7x + (3 + -2x) = 7 Reorder the terms: 35 + 3 + 7x + -2x = 7 Combine like terms: 35 + 3 = 38 38 + 7x + -2x = 7 Combine like terms: 7x + -2x = 5x 38 + 5x = 7 Solving 38 + 5x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 5x = 7 + -38 Combine like terms: 38 + -38 = 0 0 + 5x = 7 + -38 5x = 7 + -38 Combine like terms: 7 + -38 = -31 5x = -31 Divide each side by '5'. x = -6.2 Simplifying x = -6.2
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