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Simplifying 3x + 4y + 5x + 7 = 17x + 1 Reorder the terms: 7 + 3x + 5x + 4y = 17x + 1 Combine like terms: 3x + 5x = 8x 7 + 8x + 4y = 17x + 1 Reorder the terms: 7 + 8x + 4y = 1 + 17x Solving 7 + 8x + 4y = 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. 7 + 8x + -17x + 4y = 1 + 17x + -17x Combine like terms: 8x + -17x = -9x 7 + -9x + 4y = 1 + 17x + -17x Combine like terms: 17x + -17x = 0 7 + -9x + 4y = 1 + 0 7 + -9x + 4y = 1 Add '-7' to each side of the equation. 7 + -9x + -7 + 4y = 1 + -7 Reorder the terms: 7 + -7 + -9x + 4y = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -9x + 4y = 1 + -7 -9x + 4y = 1 + -7 Combine like terms: 1 + -7 = -6 -9x + 4y = -6 Add '-4y' to each side of the equation. -9x + 4y + -4y = -6 + -4y Combine like terms: 4y + -4y = 0 -9x + 0 = -6 + -4y -9x = -6 + -4y Divide each side by '-9'. x = 0.6666666667 + 0.4444444444y Simplifying x = 0.6666666667 + 0.4444444444y
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