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Simplifying 4(x + 3) + 3(5 + -1x) = 17 Reorder the terms: 4(3 + x) + 3(5 + -1x) = 17 (3 * 4 + x * 4) + 3(5 + -1x) = 17 (12 + 4x) + 3(5 + -1x) = 17 12 + 4x + (5 * 3 + -1x * 3) = 17 12 + 4x + (15 + -3x) = 17 Reorder the terms: 12 + 15 + 4x + -3x = 17 Combine like terms: 12 + 15 = 27 27 + 4x + -3x = 17 Combine like terms: 4x + -3x = 1x 27 + 1x = 17 Solving 27 + 1x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 1x = 17 + -27 Combine like terms: 27 + -27 = 0 0 + 1x = 17 + -27 1x = 17 + -27 Combine like terms: 17 + -27 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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