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Simplifying 17 + -3x + 4 = 3(5x + 1) Reorder the terms: 17 + 4 + -3x = 3(5x + 1) Combine like terms: 17 + 4 = 21 21 + -3x = 3(5x + 1) Reorder the terms: 21 + -3x = 3(1 + 5x) 21 + -3x = (1 * 3 + 5x * 3) 21 + -3x = (3 + 15x) Solving 21 + -3x = 3 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 21 + -3x + -15x = 3 + 15x + -15x Combine like terms: -3x + -15x = -18x 21 + -18x = 3 + 15x + -15x Combine like terms: 15x + -15x = 0 21 + -18x = 3 + 0 21 + -18x = 3 Add '-21' to each side of the equation. 21 + -21 + -18x = 3 + -21 Combine like terms: 21 + -21 = 0 0 + -18x = 3 + -21 -18x = 3 + -21 Combine like terms: 3 + -21 = -18 -18x = -18 Divide each side by '-18'. x = 1 Simplifying x = 1
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