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Simplifying 3(x + 5) + 4(x + -3) = 17 Reorder the terms: 3(5 + x) + 4(x + -3) = 17 (5 * 3 + x * 3) + 4(x + -3) = 17 (15 + 3x) + 4(x + -3) = 17 Reorder the terms: 15 + 3x + 4(-3 + x) = 17 15 + 3x + (-3 * 4 + x * 4) = 17 15 + 3x + (-12 + 4x) = 17 Reorder the terms: 15 + -12 + 3x + 4x = 17 Combine like terms: 15 + -12 = 3 3 + 3x + 4x = 17 Combine like terms: 3x + 4x = 7x 3 + 7x = 17 Solving 3 + 7x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7x = 17 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 17 + -3 7x = 17 + -3 Combine like terms: 17 + -3 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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