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Simplifying -5 + -3x = 4x + 51 Reorder the terms: -5 + -3x = 51 + 4x Solving -5 + -3x = 51 + 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. -5 + -3x + -4x = 51 + 4x + -4x Combine like terms: -3x + -4x = -7x -5 + -7x = 51 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -7x = 51 + 0 -5 + -7x = 51 Add '5' to each side of the equation. -5 + 5 + -7x = 51 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = 51 + 5 -7x = 51 + 5 Combine like terms: 51 + 5 = 56 -7x = 56 Divide each side by '-7'. x = -8 Simplifying x = -8
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