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Simplifying -1x + 4 + 7x = 11 + 3x + -4x Reorder the terms: 4 + -1x + 7x = 11 + 3x + -4x Combine like terms: -1x + 7x = 6x 4 + 6x = 11 + 3x + -4x Combine like terms: 3x + -4x = -1x 4 + 6x = 11 + -1x Solving 4 + 6x = 11 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 4 + 6x + x = 11 + -1x + x Combine like terms: 6x + x = 7x 4 + 7x = 11 + -1x + x Combine like terms: -1x + x = 0 4 + 7x = 11 + 0 4 + 7x = 11 Add '-4' to each side of the equation. 4 + -4 + 7x = 11 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 11 + -4 7x = 11 + -4 Combine like terms: 11 + -4 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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