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Simplifying 6x + -17 = 47 + 10x Reorder the terms: -17 + 6x = 47 + 10x Solving -17 + 6x = 47 + 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. -17 + 6x + -10x = 47 + 10x + -10x Combine like terms: 6x + -10x = -4x -17 + -4x = 47 + 10x + -10x Combine like terms: 10x + -10x = 0 -17 + -4x = 47 + 0 -17 + -4x = 47 Add '17' to each side of the equation. -17 + 17 + -4x = 47 + 17 Combine like terms: -17 + 17 = 0 0 + -4x = 47 + 17 -4x = 47 + 17 Combine like terms: 47 + 17 = 64 -4x = 64 Divide each side by '-4'. x = -16 Simplifying x = -16
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