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Simplifying 1 + -4x = 10 + -7x Solving 1 + -4x = 10 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 1 + -4x + 7x = 10 + -7x + 7x Combine like terms: -4x + 7x = 3x 1 + 3x = 10 + -7x + 7x Combine like terms: -7x + 7x = 0 1 + 3x = 10 + 0 1 + 3x = 10 Add '-1' to each side of the equation. 1 + -1 + 3x = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 10 + -1 3x = 10 + -1 Combine like terms: 10 + -1 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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