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Simplifying 5(3x + 3 + 4x + -2 + -5x) = 4x + 17 Reorder the terms: 5(3 + -2 + 3x + 4x + -5x) = 4x + 17 Combine like terms: 3 + -2 = 1 5(1 + 3x + 4x + -5x) = 4x + 17 Combine like terms: 3x + 4x = 7x 5(1 + 7x + -5x) = 4x + 17 Combine like terms: 7x + -5x = 2x 5(1 + 2x) = 4x + 17 (1 * 5 + 2x * 5) = 4x + 17 (5 + 10x) = 4x + 17 Reorder the terms: 5 + 10x = 17 + 4x Solving 5 + 10x = 17 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + 10x + -4x = 17 + 4x + -4x Combine like terms: 10x + -4x = 6x 5 + 6x = 17 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + 6x = 17 + 0 5 + 6x = 17 Add '-5' to each side of the equation. 5 + -5 + 6x = 17 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 17 + -5 6x = 17 + -5 Combine like terms: 17 + -5 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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