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Simplifying 4x + 5 + -2x + 6 = 3x + 4 Reorder the terms: 5 + 6 + 4x + -2x = 3x + 4 Combine like terms: 5 + 6 = 11 11 + 4x + -2x = 3x + 4 Combine like terms: 4x + -2x = 2x 11 + 2x = 3x + 4 Reorder the terms: 11 + 2x = 4 + 3x Solving 11 + 2x = 4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 11 + 2x + -3x = 4 + 3x + -3x Combine like terms: 2x + -3x = -1x 11 + -1x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 11 + -1x = 4 + 0 11 + -1x = 4 Add '-11' to each side of the equation. 11 + -11 + -1x = 4 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 4 + -11 -1x = 4 + -11 Combine like terms: 4 + -11 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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