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Simplifying 17 + -6(x) = 47 + 10(x) 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 = -16x 17 + -16x = 47 + 10x + -10x Combine like terms: 10x + -10x = 0 17 + -16x = 47 + 0 17 + -16x = 47 Add '-17' to each side of the equation. 17 + -17 + -16x = 47 + -17 Combine like terms: 17 + -17 = 0 0 + -16x = 47 + -17 -16x = 47 + -17 Combine like terms: 47 + -17 = 30 -16x = 30 Divide each side by '-16'. x = -1.875 Simplifying x = -1.875
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