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Simplifying 3x + 5 + 4x = 10x + 17 Reorder the terms: 5 + 3x + 4x = 10x + 17 Combine like terms: 3x + 4x = 7x 5 + 7x = 10x + 17 Reorder the terms: 5 + 7x = 17 + 10x Solving 5 + 7x = 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. 5 + 7x + -10x = 17 + 10x + -10x Combine like terms: 7x + -10x = -3x 5 + -3x = 17 + 10x + -10x Combine like terms: 10x + -10x = 0 5 + -3x = 17 + 0 5 + -3x = 17 Add '-5' to each side of the equation. 5 + -5 + -3x = 17 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 17 + -5 -3x = 17 + -5 Combine like terms: 17 + -5 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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