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Simplifying 4(x + 1) + -2(x + -3) = 17 Reorder the terms: 4(1 + x) + -2(x + -3) = 17 (1 * 4 + x * 4) + -2(x + -3) = 17 (4 + 4x) + -2(x + -3) = 17 Reorder the terms: 4 + 4x + -2(-3 + x) = 17 4 + 4x + (-3 * -2 + x * -2) = 17 4 + 4x + (6 + -2x) = 17 Reorder the terms: 4 + 6 + 4x + -2x = 17 Combine like terms: 4 + 6 = 10 10 + 4x + -2x = 17 Combine like terms: 4x + -2x = 2x 10 + 2x = 17 Solving 10 + 2x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 2x = 17 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 17 + -10 2x = 17 + -10 Combine like terms: 17 + -10 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5
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