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Simplifying 6x + -4 + -5x + -7 = 4x + 38 Reorder the terms: -4 + -7 + 6x + -5x = 4x + 38 Combine like terms: -4 + -7 = -11 -11 + 6x + -5x = 4x + 38 Combine like terms: 6x + -5x = 1x -11 + 1x = 4x + 38 Reorder the terms: -11 + 1x = 38 + 4x Solving -11 + 1x = 38 + 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 + 1x + -4x = 38 + 4x + -4x Combine like terms: 1x + -4x = -3x -11 + -3x = 38 + 4x + -4x Combine like terms: 4x + -4x = 0 -11 + -3x = 38 + 0 -11 + -3x = 38 Add '11' to each side of the equation. -11 + 11 + -3x = 38 + 11 Combine like terms: -11 + 11 = 0 0 + -3x = 38 + 11 -3x = 38 + 11 Combine like terms: 38 + 11 = 49 -3x = 49 Divide each side by '-3'. x = -16.33333333 Simplifying x = -16.33333333
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