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Simplifying 17 = -5(4x + 3) + 21x Reorder the terms: 17 = -5(3 + 4x) + 21x 17 = (3 * -5 + 4x * -5) + 21x 17 = (-15 + -20x) + 21x Combine like terms: -20x + 21x = 1x 17 = -15 + 1x Solving 17 = -15 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 17 + -1x = -15 + 1x + -1x Combine like terms: 1x + -1x = 0 17 + -1x = -15 + 0 17 + -1x = -15 Add '-17' to each side of the equation. 17 + -17 + -1x = -15 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = -15 + -17 -1x = -15 + -17 Combine like terms: -15 + -17 = -32 -1x = -32 Divide each side by '-1'. x = 32 Simplifying x = 32
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