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Simplifying 5(x + 7) + -1(2x + -3) = 1 Reorder the terms: 5(7 + x) + -1(2x + -3) = 1 (7 * 5 + x * 5) + -1(2x + -3) = 1 (35 + 5x) + -1(2x + -3) = 1 Reorder the terms: 35 + 5x + -1(-3 + 2x) = 1 35 + 5x + (-3 * -1 + 2x * -1) = 1 35 + 5x + (3 + -2x) = 1 Reorder the terms: 35 + 3 + 5x + -2x = 1 Combine like terms: 35 + 3 = 38 38 + 5x + -2x = 1 Combine like terms: 5x + -2x = 3x 38 + 3x = 1 Solving 38 + 3x = 1 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 + 3x = 1 + -38 Combine like terms: 38 + -38 = 0 0 + 3x = 1 + -38 3x = 1 + -38 Combine like terms: 1 + -38 = -37 3x = -37 Divide each side by '3'. x = -12.33333333 Simplifying x = -12.33333333
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