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Simplifying -4 + 5x + -7 = 10 + 3x + -2x Reorder the terms: -4 + -7 + 5x = 10 + 3x + -2x Combine like terms: -4 + -7 = -11 -11 + 5x = 10 + 3x + -2x Combine like terms: 3x + -2x = 1x -11 + 5x = 10 + 1x Solving -11 + 5x = 10 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -11 + 5x + -1x = 10 + 1x + -1x Combine like terms: 5x + -1x = 4x -11 + 4x = 10 + 1x + -1x Combine like terms: 1x + -1x = 0 -11 + 4x = 10 + 0 -11 + 4x = 10 Add '11' to each side of the equation. -11 + 11 + 4x = 10 + 11 Combine like terms: -11 + 11 = 0 0 + 4x = 10 + 11 4x = 10 + 11 Combine like terms: 10 + 11 = 21 4x = 21 Divide each side by '4'. x = 5.25 Simplifying x = 5.25
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