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Simplifying 4x + -5x + -7 = 3x + 10 Reorder the terms: -7 + 4x + -5x = 3x + 10 Combine like terms: 4x + -5x = -1x -7 + -1x = 3x + 10 Reorder the terms: -7 + -1x = 10 + 3x Solving -7 + -1x = 10 + 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. -7 + -1x + -3x = 10 + 3x + -3x Combine like terms: -1x + -3x = -4x -7 + -4x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + -4x = 10 + 0 -7 + -4x = 10 Add '7' to each side of the equation. -7 + 7 + -4x = 10 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = 10 + 7 -4x = 10 + 7 Combine like terms: 10 + 7 = 17 -4x = 17 Divide each side by '-4'. x = -4.25 Simplifying x = -4.25
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