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Simplifying 3x + 11 = 4x + -7 Reorder the terms: 11 + 3x = 4x + -7 Reorder the terms: 11 + 3x = -7 + 4x Solving 11 + 3x = -7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 11 + 3x + -4x = -7 + 4x + -4x Combine like terms: 3x + -4x = -1x 11 + -1x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 11 + -1x = -7 + 0 11 + -1x = -7 Add '-11' to each side of the equation. 11 + -11 + -1x = -7 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = -7 + -11 -1x = -7 + -11 Combine like terms: -7 + -11 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18
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