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Simplifying x + 40 = 7x + -40 + 10x Reorder the terms: 40 + x = 7x + -40 + 10x Reorder the terms: 40 + x = -40 + 7x + 10x Combine like terms: 7x + 10x = 17x 40 + x = -40 + 17x Solving 40 + x = -40 + 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. 40 + x + -17x = -40 + 17x + -17x Combine like terms: x + -17x = -16x 40 + -16x = -40 + 17x + -17x Combine like terms: 17x + -17x = 0 40 + -16x = -40 + 0 40 + -16x = -40 Add '-40' to each side of the equation. 40 + -40 + -16x = -40 + -40 Combine like terms: 40 + -40 = 0 0 + -16x = -40 + -40 -16x = -40 + -40 Combine like terms: -40 + -40 = -80 -16x = -80 Divide each side by '-16'. x = 5 Simplifying x = 5
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