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Simplifying (4x + 3) + -3(x + -5) = 17 Reorder the terms: (3 + 4x) + -3(x + -5) = 17 Remove parenthesis around (3 + 4x) 3 + 4x + -3(x + -5) = 17 Reorder the terms: 3 + 4x + -3(-5 + x) = 17 3 + 4x + (-5 * -3 + x * -3) = 17 3 + 4x + (15 + -3x) = 17 Reorder the terms: 3 + 15 + 4x + -3x = 17 Combine like terms: 3 + 15 = 18 18 + 4x + -3x = 17 Combine like terms: 4x + -3x = 1x 18 + 1x = 17 Solving 18 + 1x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 1x = 17 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 17 + -18 1x = 17 + -18 Combine like terms: 17 + -18 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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