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Simplifying 3x + 7 = 10x + 17 Reorder the terms: 7 + 3x = 10x + 17 Reorder the terms: 7 + 3x = 17 + 10x Solving 7 + 3x = 17 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 7 + 3x + -10x = 17 + 10x + -10x Combine like terms: 3x + -10x = -7x 7 + -7x = 17 + 10x + -10x Combine like terms: 10x + -10x = 0 7 + -7x = 17 + 0 7 + -7x = 17 Add '-7' to each side of the equation. 7 + -7 + -7x = 17 + -7 Combine like terms: 7 + -7 = 0 0 + -7x = 17 + -7 -7x = 17 + -7 Combine like terms: 17 + -7 = 10 -7x = 10 Divide each side by '-7'. x = -1.428571429 Simplifying x = -1.428571429
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