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Simplifying 4(x + 5) + -1(x + -3) = 17 Reorder the terms: 4(5 + x) + -1(x + -3) = 17 (5 * 4 + x * 4) + -1(x + -3) = 17 (20 + 4x) + -1(x + -3) = 17 Reorder the terms: 20 + 4x + -1(-3 + x) = 17 20 + 4x + (-3 * -1 + x * -1) = 17 20 + 4x + (3 + -1x) = 17 Reorder the terms: 20 + 3 + 4x + -1x = 17 Combine like terms: 20 + 3 = 23 23 + 4x + -1x = 17 Combine like terms: 4x + -1x = 3x 23 + 3x = 17 Solving 23 + 3x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 3x = 17 + -23 Combine like terms: 23 + -23 = 0 0 + 3x = 17 + -23 3x = 17 + -23 Combine like terms: 17 + -23 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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