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Simplifying 75 + 7x + -4 = 1 + 17x Reorder the terms: 75 + -4 + 7x = 1 + 17x Combine like terms: 75 + -4 = 71 71 + 7x = 1 + 17x Solving 71 + 7x = 1 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 71 + 7x + -17x = 1 + 17x + -17x Combine like terms: 7x + -17x = -10x 71 + -10x = 1 + 17x + -17x Combine like terms: 17x + -17x = 0 71 + -10x = 1 + 0 71 + -10x = 1 Add '-71' to each side of the equation. 71 + -71 + -10x = 1 + -71 Combine like terms: 71 + -71 = 0 0 + -10x = 1 + -71 -10x = 1 + -71 Combine like terms: 1 + -71 = -70 -10x = -70 Divide each side by '-10'. x = 7 Simplifying x = 7
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