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Simplifying 17x + 2 = 5(32x + -3) + 17 Reorder the terms: 2 + 17x = 5(32x + -3) + 17 Reorder the terms: 2 + 17x = 5(-3 + 32x) + 17 2 + 17x = (-3 * 5 + 32x * 5) + 17 2 + 17x = (-15 + 160x) + 17 Reorder the terms: 2 + 17x = -15 + 17 + 160x Combine like terms: -15 + 17 = 2 2 + 17x = 2 + 160x Add '-2' to each side of the equation. 2 + -2 + 17x = 2 + -2 + 160x Combine like terms: 2 + -2 = 0 0 + 17x = 2 + -2 + 160x 17x = 2 + -2 + 160x Combine like terms: 2 + -2 = 0 17x = 0 + 160x 17x = 160x Solving 17x = 160x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-160x' to each side of the equation. 17x + -160x = 160x + -160x Combine like terms: 17x + -160x = -143x -143x = 160x + -160x Combine like terms: 160x + -160x = 0 -143x = 0 Divide each side by '-143'. x = 0 Simplifying x = 0
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