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Simplifying 1 + 4x + 7x = 13 + 8x + -1x Combine like terms: 4x + 7x = 11x 1 + 11x = 13 + 8x + -1x Combine like terms: 8x + -1x = 7x 1 + 11x = 13 + 7x Solving 1 + 11x = 13 + 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 + 11x + -7x = 13 + 7x + -7x Combine like terms: 11x + -7x = 4x 1 + 4x = 13 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + 4x = 13 + 0 1 + 4x = 13 Add '-1' to each side of the equation. 1 + -1 + 4x = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 13 + -1 4x = 13 + -1 Combine like terms: 13 + -1 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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